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<h1 class="epydoc">Source Code for <a href="peach.fuzzy.control-module.html">Module peach.fuzzy.control</a></h1>
<pre class="py-src">
<a name="L1"></a><tt class="py-lineno">  1</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="L2"></a><tt class="py-lineno">  2</tt>  <tt class="py-line"><tt class="py-comment"># Peach - Computational Intelligence for Python</tt> </tt>
<a name="L3"></a><tt class="py-lineno">  3</tt>  <tt class="py-line"><tt class="py-comment"># Jose Alexandre Nalon</tt> </tt>
<a name="L4"></a><tt class="py-lineno">  4</tt>  <tt class="py-line"><tt class="py-comment">#</tt> </tt>
<a name="L5"></a><tt class="py-lineno">  5</tt>  <tt class="py-line"><tt class="py-comment"># This file: fuzzy/control.py</tt> </tt>
<a name="L6"></a><tt class="py-lineno">  6</tt>  <tt class="py-line"><tt class="py-comment"># Fuzzy based controllers, or fuzzy inference systems</tt> </tt>
<a name="L7"></a><tt class="py-lineno">  7</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="L8"></a><tt class="py-lineno">  8</tt>  <tt class="py-line"> </tt>
<a name="L9"></a><tt class="py-lineno">  9</tt>  <tt class="py-line"><tt class="py-comment"># Doc string, reStructuredText formatted:</tt> </tt>
<a name="L10"></a><tt class="py-lineno"> 10</tt>  <tt class="py-line"><tt id="link-0" class="py-name" targets="Variable peach.__doc__=peach-module.html#__doc__,Variable peach.fuzzy.__doc__=peach.fuzzy-module.html#__doc__,Variable peach.fuzzy.base.__doc__=peach.fuzzy.base-module.html#__doc__,Variable peach.fuzzy.cmeans.__doc__=peach.fuzzy.cmeans-module.html#__doc__,Variable peach.fuzzy.control.__doc__=peach.fuzzy.control-module.html#__doc__,Variable peach.fuzzy.defuzzy.__doc__=peach.fuzzy.defuzzy-module.html#__doc__,Variable peach.fuzzy.mf.__doc__=peach.fuzzy.mf-module.html#__doc__,Variable peach.fuzzy.norms.__doc__=peach.fuzzy.norms-module.html#__doc__,Variable peach.ga.__doc__=peach.ga-module.html#__doc__,Variable peach.ga.base.__doc__=peach.ga.base-module.html#__doc__,Variable peach.ga.chromosome.__doc__=peach.ga.chromosome-module.html#__doc__,Variable peach.ga.crossover.__doc__=peach.ga.crossover-module.html#__doc__,Variable peach.ga.fitness.__doc__=peach.ga.fitness-module.html#__doc__,Variable peach.ga.mutation.__doc__=peach.ga.mutation-module.html#__doc__,Variable peach.ga.selection.__doc__=peach.ga.selection-module.html#__doc__,Variable peach.nn.__doc__=peach.nn-module.html#__doc__,Variable peach.nn.af.__doc__=peach.nn.af-module.html#__doc__,Variable peach.nn.base.__doc__=peach.nn.base-module.html#__doc__,Variable peach.nn.kmeans.__doc__=peach.nn.kmeans-module.html#__doc__,Variable peach.nn.lrules.__doc__=peach.nn.lrules-module.html#__doc__,Variable peach.nn.mem.__doc__=peach.nn.mem-module.html#__doc__,Variable peach.nn.nnet.__doc__=peach.nn.nnet-module.html#__doc__,Variable peach.nn.rbfn.__doc__=peach.nn.rbfn-module.html#__doc__,Variable peach.optm.__doc__=peach.optm-module.html#__doc__,Variable peach.optm.base.__doc__=peach.optm.base-module.html#__doc__,Variable peach.optm.linear.__doc__=peach.optm.linear-module.html#__doc__,Variable peach.optm.multivar.__doc__=peach.optm.multivar-module.html#__doc__,Variable peach.optm.quasinewton.__doc__=peach.optm.quasinewton-module.html#__doc__,Variable peach.optm.stochastic.__doc__=peach.optm.stochastic-module.html#__doc__,Variable peach.pso.__doc__=peach.pso-module.html#__doc__,Variable peach.pso.acc.__doc__=peach.pso.acc-module.html#__doc__,Variable peach.pso.base.__doc__=peach.pso.base-module.html#__doc__,Variable peach.sa.__doc__=peach.sa-module.html#__doc__,Variable peach.sa.base.__doc__=peach.sa.base-module.html#__doc__,Variable peach.sa.neighbor.__doc__=peach.sa.neighbor-module.html#__doc__"><a title="peach.__doc__
peach.fuzzy.__doc__
peach.fuzzy.base.__doc__
peach.fuzzy.cmeans.__doc__
peach.fuzzy.control.__doc__
peach.fuzzy.defuzzy.__doc__
peach.fuzzy.mf.__doc__
peach.fuzzy.norms.__doc__
peach.ga.__doc__
peach.ga.base.__doc__
peach.ga.chromosome.__doc__
peach.ga.crossover.__doc__
peach.ga.fitness.__doc__
peach.ga.mutation.__doc__
peach.ga.selection.__doc__
peach.nn.__doc__
peach.nn.af.__doc__
peach.nn.base.__doc__
peach.nn.kmeans.__doc__
peach.nn.lrules.__doc__
peach.nn.mem.__doc__
peach.nn.nnet.__doc__
peach.nn.rbfn.__doc__
peach.optm.__doc__
peach.optm.base.__doc__
peach.optm.linear.__doc__
peach.optm.multivar.__doc__
peach.optm.quasinewton.__doc__
peach.optm.stochastic.__doc__
peach.pso.__doc__
peach.pso.acc.__doc__
peach.pso.base.__doc__
peach.sa.__doc__
peach.sa.base.__doc__
peach.sa.neighbor.__doc__" class="py-name" href="#" onclick="return doclink('link-0', '__doc__', 'link-0');">__doc__</a></tt> <tt class="py-op">=</tt> <tt class="py-docstring">"""</tt> </tt>
<a name="L11"></a><tt class="py-lineno"> 11</tt>  <tt class="py-line"><tt class="py-docstring">This package implements fuzzy controllers, of fuzzy inference systems.</tt> </tt>
<a name="L12"></a><tt class="py-lineno"> 12</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L13"></a><tt class="py-lineno"> 13</tt>  <tt class="py-line"><tt class="py-docstring">There are two types of controllers implemented in this package. The Mamdani</tt> </tt>
<a name="L14"></a><tt class="py-lineno"> 14</tt>  <tt class="py-line"><tt class="py-docstring">controller is the traditional approach, where input (or controlled) variables</tt> </tt>
<a name="L15"></a><tt class="py-lineno"> 15</tt>  <tt class="py-line"><tt class="py-docstring">are fuzzified, a set of decision rules determine the outcome in a fuzzified way,</tt> </tt>
<a name="L16"></a><tt class="py-lineno"> 16</tt>  <tt class="py-line"><tt class="py-docstring">and a defuzzification method is applied to obtain the numerical result.</tt> </tt>
<a name="L17"></a><tt class="py-lineno"> 17</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L18"></a><tt class="py-lineno"> 18</tt>  <tt class="py-line"><tt class="py-docstring">The Sugeno controller operates in a similar way, but there is no defuzzification</tt> </tt>
<a name="L19"></a><tt class="py-lineno"> 19</tt>  <tt class="py-line"><tt class="py-docstring">step. Instead, the value of the output (or manipulated) variable is determined</tt> </tt>
<a name="L20"></a><tt class="py-lineno"> 20</tt>  <tt class="py-line"><tt class="py-docstring">by parametric models, and the final result is determined by a weighted average</tt> </tt>
<a name="L21"></a><tt class="py-lineno"> 21</tt>  <tt class="py-line"><tt class="py-docstring">based on the decision rules. This type of controller is also known as parametric</tt> </tt>
<a name="L22"></a><tt class="py-lineno"> 22</tt>  <tt class="py-line"><tt class="py-docstring">controller.</tt> </tt>
<a name="L23"></a><tt class="py-lineno"> 23</tt>  <tt class="py-line"><tt class="py-docstring">"""</tt> </tt>
<a name="L24"></a><tt class="py-lineno"> 24</tt>  <tt class="py-line"> </tt>
<a name="L25"></a><tt class="py-lineno"> 25</tt>  <tt class="py-line"> </tt>
<a name="L26"></a><tt class="py-lineno"> 26</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="L27"></a><tt class="py-lineno"> 27</tt>  <tt class="py-line"><tt class="py-keyword">import</tt> <tt class="py-name">numpy</tt> </tt>
<a name="L28"></a><tt class="py-lineno"> 28</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt class="py-name">numpy</tt> <tt class="py-keyword">import</tt> <tt class="py-name">zeros</tt><tt class="py-op">,</tt> <tt class="py-name">array</tt><tt class="py-op">,</tt> <tt class="py-name">dot</tt> </tt>
<a name="L29"></a><tt class="py-lineno"> 29</tt>  <tt class="py-line"><tt class="py-keyword">import</tt> <tt class="py-name">types</tt> </tt>
<a name="L30"></a><tt class="py-lineno"> 30</tt>  <tt class="py-line"> </tt>
<a name="L31"></a><tt class="py-lineno"> 31</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt id="link-1" class="py-name" targets="Module peach.fuzzy.base=peach.fuzzy.base-module.html,Module peach.ga.base=peach.ga.base-module.html,Module peach.nn.base=peach.nn.base-module.html,Module peach.optm.base=peach.optm.base-module.html,Module peach.pso.base=peach.pso.base-module.html,Module peach.sa.base=peach.sa.base-module.html"><a title="peach.fuzzy.base
peach.ga.base
peach.nn.base
peach.optm.base
peach.pso.base
peach.sa.base" class="py-name" href="#" onclick="return doclink('link-1', 'base', 'link-1');">base</a></tt> <tt class="py-keyword">import</tt> <tt class="py-op">*</tt> </tt>
<a name="L32"></a><tt class="py-lineno"> 32</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt id="link-2" class="py-name" targets="Module peach.fuzzy.mf=peach.fuzzy.mf-module.html"><a title="peach.fuzzy.mf" class="py-name" href="#" onclick="return doclink('link-2', 'mf', 'link-2');">mf</a></tt> <tt class="py-keyword">import</tt> <tt class="py-op">*</tt> </tt>
<a name="L33"></a><tt class="py-lineno"> 33</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt id="link-3" class="py-name" targets="Module peach.fuzzy.norms=peach.fuzzy.norms-module.html"><a title="peach.fuzzy.norms" class="py-name" href="#" onclick="return doclink('link-3', 'norms', 'link-3');">norms</a></tt> <tt class="py-keyword">import</tt> <tt class="py-op">*</tt> </tt>
<a name="L34"></a><tt class="py-lineno"> 34</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt id="link-4" class="py-name" targets="Module peach.fuzzy.defuzzy=peach.fuzzy.defuzzy-module.html"><a title="peach.fuzzy.defuzzy" class="py-name" href="#" onclick="return doclink('link-4', 'defuzzy', 'link-4');">defuzzy</a></tt> <tt class="py-keyword">import</tt> <tt class="py-op">*</tt> </tt>
<a name="L35"></a><tt class="py-lineno"> 35</tt>  <tt class="py-line"> </tt>
<a name="L36"></a><tt class="py-lineno"> 36</tt>  <tt class="py-line"> </tt>
<a name="L37"></a><tt class="py-lineno"> 37</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="L38"></a><tt class="py-lineno"> 38</tt>  <tt class="py-line"><tt class="py-comment"># Basic Mamdani controller</tt> </tt>
<a name="L39"></a><tt class="py-lineno"> 39</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="Controller"></a><div id="Controller-def"><a name="L40"></a><tt class="py-lineno"> 40</tt> <a class="py-toggle" href="#" id="Controller-toggle" onclick="return toggle('Controller');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.fuzzy.control.Controller-class.html">Controller</a><tt class="py-op">(</tt><tt class="py-base-class">object</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Controller-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="Controller-expanded"><a name="L41"></a><tt class="py-lineno"> 41</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L42"></a><tt class="py-lineno"> 42</tt>  <tt class="py-line"><tt class="py-docstring">    Basic Mamdani controller</tt> </tt>
<a name="L43"></a><tt class="py-lineno"> 43</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L44"></a><tt class="py-lineno"> 44</tt>  <tt class="py-line"><tt class="py-docstring">    This class implements a standard Mamdani controller. A controller based on</tt> </tt>
<a name="L45"></a><tt class="py-lineno"> 45</tt>  <tt class="py-line"><tt class="py-docstring">    fuzzy logic has a somewhat complex behaviour, so it is not explained here.</tt> </tt>
<a name="L46"></a><tt class="py-lineno"> 46</tt>  <tt class="py-line"><tt class="py-docstring">    There are numerous references that can be consulted.</tt> </tt>
<a name="L47"></a><tt class="py-lineno"> 47</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L48"></a><tt class="py-lineno"> 48</tt>  <tt class="py-line"><tt class="py-docstring">    It is essential to understand the format that decision rules must follow to</tt> </tt>
<a name="L49"></a><tt class="py-lineno"> 49</tt>  <tt class="py-line"><tt class="py-docstring">    obtain correct behaviour of the controller. A rule is a tuple given by::</tt> </tt>
<a name="L50"></a><tt class="py-lineno"> 50</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L51"></a><tt class="py-lineno"> 51</tt>  <tt class="py-line"><tt class="py-docstring">        ((mx0, mx1, ..., mxn), my)</tt> </tt>
<a name="L52"></a><tt class="py-lineno"> 52</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L53"></a><tt class="py-lineno"> 53</tt>  <tt class="py-line"><tt class="py-docstring">    where ``mx0`` is a membership function of the first input variable, ``mx1``</tt> </tt>
<a name="L54"></a><tt class="py-lineno"> 54</tt>  <tt class="py-line"><tt class="py-docstring">    is a membership function of the second input variable and so on; and ``my``</tt> </tt>
<a name="L55"></a><tt class="py-lineno"> 55</tt>  <tt class="py-line"><tt class="py-docstring">    is a membership function or a fuzzy set of the output variable.</tt> </tt>
<a name="L56"></a><tt class="py-lineno"> 56</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L57"></a><tt class="py-lineno"> 57</tt>  <tt class="py-line"><tt class="py-docstring">    Notice that ``mx``'s are *functions* not fuzzy sets! They will be applied to</tt> </tt>
<a name="L58"></a><tt class="py-lineno"> 58</tt>  <tt class="py-line"><tt class="py-docstring">    the values of the input variables given in the function call, so, if they</tt> </tt>
<a name="L59"></a><tt class="py-lineno"> 59</tt>  <tt class="py-line"><tt class="py-docstring">    are anything different from a membership function, an exception will be</tt> </tt>
<a name="L60"></a><tt class="py-lineno"> 60</tt>  <tt class="py-line"><tt class="py-docstring">    raised. Please, consult the examples to see how they must be used.</tt> </tt>
<a name="L61"></a><tt class="py-lineno"> 61</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="Controller.__init__"></a><div id="Controller.__init__-def"><a name="L62"></a><tt class="py-lineno"> 62</tt> <a class="py-toggle" href="#" id="Controller.__init__-toggle" onclick="return toggle('Controller.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.control.Controller-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">yrange</tt><tt class="py-op">,</tt> <tt class="py-param">rules</tt><tt class="py-op">=</tt><tt class="py-op">[</tt><tt class="py-op">]</tt><tt class="py-op">,</tt> <tt class="py-param">defuzzy</tt><tt class="py-op">=</tt><tt id="link-5" class="py-name" targets="Function peach.fuzzy.defuzzy.Centroid()=peach.fuzzy.defuzzy-module.html#Centroid"><a title="peach.fuzzy.defuzzy.Centroid" class="py-name" href="#" onclick="return doclink('link-5', 'Centroid', 'link-5');">Centroid</a></tt><tt class="py-op">,</tt> </tt>
<a name="L63"></a><tt class="py-lineno"> 63</tt>  <tt class="py-line">                 <tt class="py-param">norm</tt><tt class="py-op">=</tt><tt id="link-6" class="py-name" targets="Function peach.fuzzy.norms.ZadehAnd()=peach.fuzzy.norms-module.html#ZadehAnd"><a title="peach.fuzzy.norms.ZadehAnd" class="py-name" href="#" onclick="return doclink('link-6', 'ZadehAnd', 'link-6');">ZadehAnd</a></tt><tt class="py-op">,</tt> <tt class="py-param">conorm</tt><tt class="py-op">=</tt><tt id="link-7" class="py-name" targets="Function peach.fuzzy.norms.ZadehOr()=peach.fuzzy.norms-module.html#ZadehOr"><a title="peach.fuzzy.norms.ZadehOr" class="py-name" href="#" onclick="return doclink('link-7', 'ZadehOr', 'link-7');">ZadehOr</a></tt><tt class="py-op">,</tt> <tt class="py-param">negation</tt><tt class="py-op">=</tt><tt id="link-8" class="py-name" targets="Function peach.fuzzy.norms.ZadehNot()=peach.fuzzy.norms-module.html#ZadehNot"><a title="peach.fuzzy.norms.ZadehNot" class="py-name" href="#" onclick="return doclink('link-8', 'ZadehNot', 'link-8');">ZadehNot</a></tt><tt class="py-op">,</tt> </tt>
<a name="L64"></a><tt class="py-lineno"> 64</tt>  <tt class="py-line">                 <tt class="py-param">imply</tt><tt class="py-op">=</tt><tt id="link-9" class="py-name" targets="Function peach.fuzzy.norms.MamdaniImplication()=peach.fuzzy.norms-module.html#MamdaniImplication"><a title="peach.fuzzy.norms.MamdaniImplication" class="py-name" href="#" onclick="return doclink('link-9', 'MamdaniImplication', 'link-9');">MamdaniImplication</a></tt><tt class="py-op">,</tt> <tt class="py-param">aglutinate</tt><tt class="py-op">=</tt><tt id="link-10" class="py-name" targets="Function peach.fuzzy.norms.MamdaniAglutination()=peach.fuzzy.norms-module.html#MamdaniAglutination"><a title="peach.fuzzy.norms.MamdaniAglutination" class="py-name" href="#" onclick="return doclink('link-10', 'MamdaniAglutination', 'link-10');">MamdaniAglutination</a></tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Controller.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Controller.__init__-expanded"><a name="L65"></a><tt class="py-lineno"> 65</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L66"></a><tt class="py-lineno"> 66</tt>  <tt class="py-line"><tt class="py-docstring">        Creates and initialize the controller.</tt> </tt>
<a name="L67"></a><tt class="py-lineno"> 67</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L68"></a><tt class="py-lineno"> 68</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L69"></a><tt class="py-lineno"> 69</tt>  <tt class="py-line"><tt class="py-docstring">          yrange</tt> </tt>
<a name="L70"></a><tt class="py-lineno"> 70</tt>  <tt class="py-line"><tt class="py-docstring">            The range of the output variable. This must be given as a set of</tt> </tt>
<a name="L71"></a><tt class="py-lineno"> 71</tt>  <tt class="py-line"><tt class="py-docstring">            points belonging to the interval where the output variable is</tt> </tt>
<a name="L72"></a><tt class="py-lineno"> 72</tt>  <tt class="py-line"><tt class="py-docstring">            defined, not only the start and end points. It is strongly suggested</tt> </tt>
<a name="L73"></a><tt class="py-lineno"> 73</tt>  <tt class="py-line"><tt class="py-docstring">            that the interval is divided in some (eg.: 100) points equally</tt> </tt>
<a name="L74"></a><tt class="py-lineno"> 74</tt>  <tt class="py-line"><tt class="py-docstring">            spaced;</tt> </tt>
<a name="L75"></a><tt class="py-lineno"> 75</tt>  <tt class="py-line"><tt class="py-docstring">          rules</tt> </tt>
<a name="L76"></a><tt class="py-lineno"> 76</tt>  <tt class="py-line"><tt class="py-docstring">            The set of decision rules, as defined above. If none is given, an</tt> </tt>
<a name="L77"></a><tt class="py-lineno"> 77</tt>  <tt class="py-line"><tt class="py-docstring">            empty set of rules is assumed;</tt> </tt>
<a name="L78"></a><tt class="py-lineno"> 78</tt>  <tt class="py-line"><tt class="py-docstring">          defuzzy</tt> </tt>
<a name="L79"></a><tt class="py-lineno"> 79</tt>  <tt class="py-line"><tt class="py-docstring">            The defuzzification method to be used. If none is given, the</tt> </tt>
<a name="L80"></a><tt class="py-lineno"> 80</tt>  <tt class="py-line"><tt class="py-docstring">            Centroid method is used;</tt> </tt>
<a name="L81"></a><tt class="py-lineno"> 81</tt>  <tt class="py-line"><tt class="py-docstring">          norm</tt> </tt>
<a name="L82"></a><tt class="py-lineno"> 82</tt>  <tt class="py-line"><tt class="py-docstring">            The norm (``and`` operation) to be used. Defaults to Zadeh and.</tt> </tt>
<a name="L83"></a><tt class="py-lineno"> 83</tt>  <tt class="py-line"><tt class="py-docstring">          conorm</tt> </tt>
<a name="L84"></a><tt class="py-lineno"> 84</tt>  <tt class="py-line"><tt class="py-docstring">            The conorm (``or`` operation) to be used. Defaults to Zadeh or.</tt> </tt>
<a name="L85"></a><tt class="py-lineno"> 85</tt>  <tt class="py-line"><tt class="py-docstring">          negation</tt> </tt>
<a name="L86"></a><tt class="py-lineno"> 86</tt>  <tt class="py-line"><tt class="py-docstring">            The negation (``not`` operation) to be used. Defaults to Zadeh not.</tt> </tt>
<a name="L87"></a><tt class="py-lineno"> 87</tt>  <tt class="py-line"><tt class="py-docstring">          imply</tt> </tt>
<a name="L88"></a><tt class="py-lineno"> 88</tt>  <tt class="py-line"><tt class="py-docstring">            The implication method to be used. Defaults to Mamdani implication.\</tt> </tt>
<a name="L89"></a><tt class="py-lineno"> 89</tt>  <tt class="py-line"><tt class="py-docstring">          aglutinate</tt> </tt>
<a name="L90"></a><tt class="py-lineno"> 90</tt>  <tt class="py-line"><tt class="py-docstring">            The aglutination method to be used. Defaults to Mamdani</tt> </tt>
<a name="L91"></a><tt class="py-lineno"> 91</tt>  <tt class="py-line"><tt class="py-docstring">            aglutination.</tt> </tt>
<a name="L92"></a><tt class="py-lineno"> 92</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L93"></a><tt class="py-lineno"> 93</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__y</tt> <tt class="py-op">=</tt> <tt class="py-name">yrange</tt> </tt>
<a name="L94"></a><tt class="py-lineno"> 94</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__rules</tt> <tt class="py-op">=</tt> <tt class="py-op">[</tt> <tt class="py-op">]</tt> </tt>
<a name="L95"></a><tt class="py-lineno"> 95</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt id="link-11" class="py-name" targets="Variable peach.fuzzy.control.Controller.rules=peach.fuzzy.control.Controller-class.html#rules,Variable peach.fuzzy.control.Parametric.rules=peach.fuzzy.control.Parametric-class.html#rules"><a title="peach.fuzzy.control.Controller.rules
peach.fuzzy.control.Parametric.rules" class="py-name" href="#" onclick="return doclink('link-11', 'rules', 'link-11');">rules</a></tt><tt class="py-op">,</tt> <tt class="py-name">list</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L96"></a><tt class="py-lineno"> 96</tt>  <tt class="py-line">            <tt class="py-keyword">for</tt> <tt class="py-name">r</tt> <tt class="py-keyword">in</tt> <tt id="link-12" class="py-name"><a title="peach.fuzzy.control.Controller.rules
peach.fuzzy.control.Parametric.rules" class="py-name" href="#" onclick="return doclink('link-12', 'rules', 'link-11');">rules</a></tt><tt class="py-op">:</tt> </tt>
<a name="L97"></a><tt class="py-lineno"> 97</tt>  <tt class="py-line">                <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-13" class="py-name" targets="Method peach.fuzzy.control.Controller.add_rule()=peach.fuzzy.control.Controller-class.html#add_rule,Method peach.fuzzy.control.Parametric.add_rule()=peach.fuzzy.control.Parametric-class.html#add_rule"><a title="peach.fuzzy.control.Controller.add_rule
peach.fuzzy.control.Parametric.add_rule" class="py-name" href="#" onclick="return doclink('link-13', 'add_rule', 'link-13');">add_rule</a></tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">)</tt> </tt>
<a name="L98"></a><tt class="py-lineno"> 98</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">defuzzify</tt> <tt class="py-op">=</tt> <tt id="link-14" class="py-name"><a title="peach.fuzzy.defuzzy" class="py-name" href="#" onclick="return doclink('link-14', 'defuzzy', 'link-4');">defuzzy</a></tt> </tt>
<a name="L99"></a><tt class="py-lineno"> 99</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__AND__</tt> <tt class="py-op">=</tt> <tt class="py-name">norm</tt> </tt>
<a name="L100"></a><tt class="py-lineno">100</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__OR__</tt> <tt class="py-op">=</tt> <tt class="py-name">conorm</tt> </tt>
<a name="L101"></a><tt class="py-lineno">101</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__NOT__</tt> <tt class="py-op">=</tt> <tt class="py-name">negation</tt> </tt>
<a name="L102"></a><tt class="py-lineno">102</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__IMP__</tt> <tt class="py-op">=</tt> <tt class="py-name">imply</tt> </tt>
<a name="L103"></a><tt class="py-lineno">103</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__AGL__</tt> <tt class="py-op">=</tt> <tt class="py-name">aglutinate</tt> </tt>
</div><a name="L104"></a><tt class="py-lineno">104</tt>  <tt class="py-line"> </tt>
<a name="L105"></a><tt class="py-lineno">105</tt>  <tt class="py-line"> </tt>
<a name="Controller.__gety"></a><div id="Controller.__gety-def"><a name="L106"></a><tt class="py-lineno">106</tt> <a class="py-toggle" href="#" id="Controller.__gety-toggle" onclick="return toggle('Controller.__gety');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.control.Controller-class.html#__gety">__gety</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Controller.__gety-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Controller.__gety-expanded"><a name="L107"></a><tt class="py-lineno">107</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__y</tt> </tt>
</div><a name="L108"></a><tt class="py-lineno">108</tt>  <tt class="py-line">    <tt id="link-15" class="py-name" targets="Variable peach.fuzzy.control.Controller.y=peach.fuzzy.control.Controller-class.html#y,Variable peach.nn.base.Layer.y=peach.nn.base.Layer-class.html#y,Variable peach.nn.nnet.FeedForward.y=peach.nn.nnet.FeedForward-class.html#y,Variable peach.nn.nnet.SOM.y=peach.nn.nnet.SOM-class.html#y,Variable peach.nn.rbfn.RBFN.y=peach.nn.rbfn.RBFN-class.html#y"><a title="peach.fuzzy.control.Controller.y
peach.nn.base.Layer.y
peach.nn.nnet.FeedForward.y
peach.nn.nnet.SOM.y
peach.nn.rbfn.RBFN.y" class="py-name" href="#" onclick="return doclink('link-15', 'y', 'link-15');">y</a></tt> <tt class="py-op">=</tt> <tt class="py-name">property</tt><tt class="py-op">(</tt><tt id="link-16" class="py-name" targets="Method peach.fuzzy.control.Controller.__gety()=peach.fuzzy.control.Controller-class.html#__gety,Method peach.nn.base.Layer.__gety()=peach.nn.base.Layer-class.html#__gety,Method peach.nn.nnet.FeedForward.__gety()=peach.nn.nnet.FeedForward-class.html#__gety,Method peach.nn.nnet.SOM.__gety()=peach.nn.nnet.SOM-class.html#__gety,Method peach.nn.rbfn.RBFN.__gety()=peach.nn.rbfn.RBFN-class.html#__gety"><a title="peach.fuzzy.control.Controller.__gety
peach.nn.base.Layer.__gety
peach.nn.nnet.FeedForward.__gety
peach.nn.nnet.SOM.__gety
peach.nn.rbfn.RBFN.__gety" class="py-name" href="#" onclick="return doclink('link-16', '__gety', 'link-16');">__gety</a></tt><tt class="py-op">,</tt> <tt class="py-name">None</tt><tt class="py-op">)</tt> </tt>
<a name="L109"></a><tt class="py-lineno">109</tt>  <tt class="py-line">    <tt class="py-string">'''Property that returns the output variable interval. Not writable'''</tt> </tt>
<a name="L110"></a><tt class="py-lineno">110</tt>  <tt class="py-line"> </tt>
<a name="Controller.__getrules"></a><div id="Controller.__getrules-def"><a name="L111"></a><tt class="py-lineno">111</tt> <a class="py-toggle" href="#" id="Controller.__getrules-toggle" onclick="return toggle('Controller.__getrules');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.control.Controller-class.html#__getrules">__getrules</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Controller.__getrules-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Controller.__getrules-expanded"><a name="L112"></a><tt class="py-lineno">112</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__rules</tt><tt class="py-op">[</tt><tt class="py-op">:</tt><tt class="py-op">]</tt> </tt>
</div><a name="L113"></a><tt class="py-lineno">113</tt>  <tt class="py-line">    <tt id="link-17" class="py-name"><a title="peach.fuzzy.control.Controller.rules
peach.fuzzy.control.Parametric.rules" class="py-name" href="#" onclick="return doclink('link-17', 'rules', 'link-11');">rules</a></tt> <tt class="py-op">=</tt> <tt class="py-name">property</tt><tt class="py-op">(</tt><tt id="link-18" class="py-name" targets="Method peach.fuzzy.control.Controller.__getrules()=peach.fuzzy.control.Controller-class.html#__getrules,Method peach.fuzzy.control.Parametric.__getrules()=peach.fuzzy.control.Parametric-class.html#__getrules"><a title="peach.fuzzy.control.Controller.__getrules
peach.fuzzy.control.Parametric.__getrules" class="py-name" href="#" onclick="return doclink('link-18', '__getrules', 'link-18');">__getrules</a></tt><tt class="py-op">,</tt> <tt class="py-name">None</tt><tt class="py-op">)</tt> </tt>
<a name="L114"></a><tt class="py-lineno">114</tt>  <tt class="py-line">    <tt class="py-string">'''Property that returns the list of decision rules. Not writable'''</tt> </tt>
<a name="L115"></a><tt class="py-lineno">115</tt>  <tt class="py-line"> </tt>
<a name="Controller.set_norm"></a><div id="Controller.set_norm-def"><a name="L116"></a><tt class="py-lineno">116</tt> <a class="py-toggle" href="#" id="Controller.set_norm-toggle" onclick="return toggle('Controller.set_norm');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.control.Controller-class.html#set_norm">set_norm</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">f</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Controller.set_norm-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Controller.set_norm-expanded"><a name="L117"></a><tt class="py-lineno">117</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L118"></a><tt class="py-lineno">118</tt>  <tt class="py-line"><tt class="py-docstring">        Sets the norm (``and``) to be used.</tt> </tt>
<a name="L119"></a><tt class="py-lineno">119</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L120"></a><tt class="py-lineno">120</tt>  <tt class="py-line"><tt class="py-docstring">        This method must be used to change the behavior of the ``and`` operation</tt> </tt>
<a name="L121"></a><tt class="py-lineno">121</tt>  <tt class="py-line"><tt class="py-docstring">        of the controller.</tt> </tt>
<a name="L122"></a><tt class="py-lineno">122</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L123"></a><tt class="py-lineno">123</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L124"></a><tt class="py-lineno">124</tt>  <tt class="py-line"><tt class="py-docstring">          f</tt> </tt>
<a name="L125"></a><tt class="py-lineno">125</tt>  <tt class="py-line"><tt class="py-docstring">            The function can be any function that takes two numerical values and</tt> </tt>
<a name="L126"></a><tt class="py-lineno">126</tt>  <tt class="py-line"><tt class="py-docstring">            return one numerical value, that corresponds to the ``and`` result.</tt> </tt>
<a name="L127"></a><tt class="py-lineno">127</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L128"></a><tt class="py-lineno">128</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">,</tt> <tt class="py-name">numpy</tt><tt class="py-op">.</tt><tt class="py-name">vectorize</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L129"></a><tt class="py-lineno">129</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__AND__</tt> <tt class="py-op">=</tt> <tt class="py-name">f</tt> </tt>
<a name="L130"></a><tt class="py-lineno">130</tt>  <tt class="py-line">        <tt class="py-keyword">elif</tt> <tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">,</tt> <tt class="py-name">types</tt><tt class="py-op">.</tt><tt class="py-name">FunctionType</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L131"></a><tt class="py-lineno">131</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__AND__</tt> <tt class="py-op">=</tt> <tt class="py-name">numpy</tt><tt class="py-op">.</tt><tt class="py-name">vectorize</tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">)</tt> </tt>
<a name="L132"></a><tt class="py-lineno">132</tt>  <tt class="py-line">        <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L133"></a><tt class="py-lineno">133</tt>  <tt class="py-line">            <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">'invalid function'</tt> </tt>
</div><a name="L134"></a><tt class="py-lineno">134</tt>  <tt class="py-line"> </tt>
<a name="L135"></a><tt class="py-lineno">135</tt>  <tt class="py-line"> </tt>
<a name="Controller.set_conorm"></a><div id="Controller.set_conorm-def"><a name="L136"></a><tt class="py-lineno">136</tt> <a class="py-toggle" href="#" id="Controller.set_conorm-toggle" onclick="return toggle('Controller.set_conorm');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.control.Controller-class.html#set_conorm">set_conorm</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">f</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Controller.set_conorm-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Controller.set_conorm-expanded"><a name="L137"></a><tt class="py-lineno">137</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L138"></a><tt class="py-lineno">138</tt>  <tt class="py-line"><tt class="py-docstring">        Sets the conorm (``or``) to be used.</tt> </tt>
<a name="L139"></a><tt class="py-lineno">139</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L140"></a><tt class="py-lineno">140</tt>  <tt class="py-line"><tt class="py-docstring">        This method must be used to change the behavior of the ``or`` operation</tt> </tt>
<a name="L141"></a><tt class="py-lineno">141</tt>  <tt class="py-line"><tt class="py-docstring">        of the controller.</tt> </tt>
<a name="L142"></a><tt class="py-lineno">142</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L143"></a><tt class="py-lineno">143</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L144"></a><tt class="py-lineno">144</tt>  <tt class="py-line"><tt class="py-docstring">          f</tt> </tt>
<a name="L145"></a><tt class="py-lineno">145</tt>  <tt class="py-line"><tt class="py-docstring">            The function can be any function that takes two numerical values and</tt> </tt>
<a name="L146"></a><tt class="py-lineno">146</tt>  <tt class="py-line"><tt class="py-docstring">            return one numerical value, that corresponds to the ``or`` result.</tt> </tt>
<a name="L147"></a><tt class="py-lineno">147</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L148"></a><tt class="py-lineno">148</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">,</tt> <tt class="py-name">numpy</tt><tt class="py-op">.</tt><tt class="py-name">vectorize</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L149"></a><tt class="py-lineno">149</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__OR__</tt> <tt class="py-op">=</tt> <tt class="py-name">f</tt> </tt>
<a name="L150"></a><tt class="py-lineno">150</tt>  <tt class="py-line">        <tt class="py-keyword">elif</tt> <tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">,</tt> <tt class="py-name">types</tt><tt class="py-op">.</tt><tt class="py-name">FunctionType</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L151"></a><tt class="py-lineno">151</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__OR__</tt> <tt class="py-op">=</tt> <tt class="py-name">numpy</tt><tt class="py-op">.</tt><tt class="py-name">vectorize</tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">)</tt> </tt>
<a name="L152"></a><tt class="py-lineno">152</tt>  <tt class="py-line">        <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L153"></a><tt class="py-lineno">153</tt>  <tt class="py-line">            <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">'invalid function'</tt> </tt>
</div><a name="L154"></a><tt class="py-lineno">154</tt>  <tt class="py-line"> </tt>
<a name="L155"></a><tt class="py-lineno">155</tt>  <tt class="py-line"> </tt>
<a name="Controller.set_negation"></a><div id="Controller.set_negation-def"><a name="L156"></a><tt class="py-lineno">156</tt> <a class="py-toggle" href="#" id="Controller.set_negation-toggle" onclick="return toggle('Controller.set_negation');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.control.Controller-class.html#set_negation">set_negation</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">f</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Controller.set_negation-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Controller.set_negation-expanded"><a name="L157"></a><tt class="py-lineno">157</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L158"></a><tt class="py-lineno">158</tt>  <tt class="py-line"><tt class="py-docstring">        Sets the negation (``not``) to be used.</tt> </tt>
<a name="L159"></a><tt class="py-lineno">159</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L160"></a><tt class="py-lineno">160</tt>  <tt class="py-line"><tt class="py-docstring">        This method must be used to change the behavior of the ``not`` operation</tt> </tt>
<a name="L161"></a><tt class="py-lineno">161</tt>  <tt class="py-line"><tt class="py-docstring">        of the controller.</tt> </tt>
<a name="L162"></a><tt class="py-lineno">162</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L163"></a><tt class="py-lineno">163</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L164"></a><tt class="py-lineno">164</tt>  <tt class="py-line"><tt class="py-docstring">          f</tt> </tt>
<a name="L165"></a><tt class="py-lineno">165</tt>  <tt class="py-line"><tt class="py-docstring">            The function can be any function that takes one numerical value and</tt> </tt>
<a name="L166"></a><tt class="py-lineno">166</tt>  <tt class="py-line"><tt class="py-docstring">            return one numerical value, that corresponds to the ``not`` result.</tt> </tt>
<a name="L167"></a><tt class="py-lineno">167</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L168"></a><tt class="py-lineno">168</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">,</tt> <tt class="py-name">numpy</tt><tt class="py-op">.</tt><tt class="py-name">vectorize</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L169"></a><tt class="py-lineno">169</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__NOT__</tt> <tt class="py-op">=</tt> <tt class="py-name">f</tt> </tt>
<a name="L170"></a><tt class="py-lineno">170</tt>  <tt class="py-line">        <tt class="py-keyword">elif</tt> <tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">,</tt> <tt class="py-name">types</tt><tt class="py-op">.</tt><tt class="py-name">FunctionType</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L171"></a><tt class="py-lineno">171</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__NOT__</tt> <tt class="py-op">=</tt> <tt class="py-name">numpy</tt><tt class="py-op">.</tt><tt class="py-name">vectorize</tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">)</tt> </tt>
<a name="L172"></a><tt class="py-lineno">172</tt>  <tt class="py-line">        <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L173"></a><tt class="py-lineno">173</tt>  <tt class="py-line">            <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">'invalid function'</tt> </tt>
</div><a name="L174"></a><tt class="py-lineno">174</tt>  <tt class="py-line"> </tt>
<a name="L175"></a><tt class="py-lineno">175</tt>  <tt class="py-line"> </tt>
<a name="Controller.set_implication"></a><div id="Controller.set_implication-def"><a name="L176"></a><tt class="py-lineno">176</tt> <a class="py-toggle" href="#" id="Controller.set_implication-toggle" onclick="return toggle('Controller.set_implication');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.control.Controller-class.html#set_implication">set_implication</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">f</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Controller.set_implication-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Controller.set_implication-expanded"><a name="L177"></a><tt class="py-lineno">177</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L178"></a><tt class="py-lineno">178</tt>  <tt class="py-line"><tt class="py-docstring">        Sets the implication to be used.</tt> </tt>
<a name="L179"></a><tt class="py-lineno">179</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L180"></a><tt class="py-lineno">180</tt>  <tt class="py-line"><tt class="py-docstring">        This method must be used to change the behavior of the implication</tt> </tt>
<a name="L181"></a><tt class="py-lineno">181</tt>  <tt class="py-line"><tt class="py-docstring">        operation of the controller.</tt> </tt>
<a name="L182"></a><tt class="py-lineno">182</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L183"></a><tt class="py-lineno">183</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L184"></a><tt class="py-lineno">184</tt>  <tt class="py-line"><tt class="py-docstring">          f</tt> </tt>
<a name="L185"></a><tt class="py-lineno">185</tt>  <tt class="py-line"><tt class="py-docstring">            The function can be any function that takes two numerical values and</tt> </tt>
<a name="L186"></a><tt class="py-lineno">186</tt>  <tt class="py-line"><tt class="py-docstring">            return one numerical value, that corresponds to the implication</tt> </tt>
<a name="L187"></a><tt class="py-lineno">187</tt>  <tt class="py-line"><tt class="py-docstring">            result.</tt> </tt>
<a name="L188"></a><tt class="py-lineno">188</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L189"></a><tt class="py-lineno">189</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">,</tt> <tt class="py-name">numpy</tt><tt class="py-op">.</tt><tt class="py-name">vectorize</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L190"></a><tt class="py-lineno">190</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__IMP__</tt> <tt class="py-op">=</tt> <tt class="py-name">f</tt> </tt>
<a name="L191"></a><tt class="py-lineno">191</tt>  <tt class="py-line">        <tt class="py-keyword">elif</tt> <tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">,</tt> <tt class="py-name">types</tt><tt class="py-op">.</tt><tt class="py-name">FunctionType</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L192"></a><tt class="py-lineno">192</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__IMP__</tt> <tt class="py-op">=</tt> <tt class="py-name">numpy</tt><tt class="py-op">.</tt><tt class="py-name">vectorize</tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">)</tt> </tt>
<a name="L193"></a><tt class="py-lineno">193</tt>  <tt class="py-line">        <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L194"></a><tt class="py-lineno">194</tt>  <tt class="py-line">            <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">'invalid function'</tt> </tt>
</div><a name="L195"></a><tt class="py-lineno">195</tt>  <tt class="py-line"> </tt>
<a name="L196"></a><tt class="py-lineno">196</tt>  <tt class="py-line"> </tt>
<a name="Controller.set_aglutination"></a><div id="Controller.set_aglutination-def"><a name="L197"></a><tt class="py-lineno">197</tt> <a class="py-toggle" href="#" id="Controller.set_aglutination-toggle" onclick="return toggle('Controller.set_aglutination');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.control.Controller-class.html#set_aglutination">set_aglutination</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">f</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Controller.set_aglutination-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Controller.set_aglutination-expanded"><a name="L198"></a><tt class="py-lineno">198</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L199"></a><tt class="py-lineno">199</tt>  <tt class="py-line"><tt class="py-docstring">        Sets the aglutination to be used.</tt> </tt>
<a name="L200"></a><tt class="py-lineno">200</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L201"></a><tt class="py-lineno">201</tt>  <tt class="py-line"><tt class="py-docstring">        This method must be used to change the behavior of the aglutination</tt> </tt>
<a name="L202"></a><tt class="py-lineno">202</tt>  <tt class="py-line"><tt class="py-docstring">        operation of the controller.</tt> </tt>
<a name="L203"></a><tt class="py-lineno">203</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L204"></a><tt class="py-lineno">204</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L205"></a><tt class="py-lineno">205</tt>  <tt class="py-line"><tt class="py-docstring">          f</tt> </tt>
<a name="L206"></a><tt class="py-lineno">206</tt>  <tt class="py-line"><tt class="py-docstring">            The function can be any function that takes two numerical values and</tt> </tt>
<a name="L207"></a><tt class="py-lineno">207</tt>  <tt class="py-line"><tt class="py-docstring">            return one numerical value, that corresponds to the aglutination</tt> </tt>
<a name="L208"></a><tt class="py-lineno">208</tt>  <tt class="py-line"><tt class="py-docstring">            result.</tt> </tt>
<a name="L209"></a><tt class="py-lineno">209</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L210"></a><tt class="py-lineno">210</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">,</tt> <tt class="py-name">numpy</tt><tt class="py-op">.</tt><tt class="py-name">vectorize</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L211"></a><tt class="py-lineno">211</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__AGL__</tt> <tt class="py-op">=</tt> <tt class="py-name">f</tt> </tt>
<a name="L212"></a><tt class="py-lineno">212</tt>  <tt class="py-line">        <tt class="py-keyword">elif</tt> <tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">,</tt> <tt class="py-name">types</tt><tt class="py-op">.</tt><tt class="py-name">FunctionType</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L213"></a><tt class="py-lineno">213</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__AGL__</tt> <tt class="py-op">=</tt> <tt class="py-name">numpy</tt><tt class="py-op">.</tt><tt class="py-name">vectorize</tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">)</tt> </tt>
<a name="L214"></a><tt class="py-lineno">214</tt>  <tt class="py-line">        <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L215"></a><tt class="py-lineno">215</tt>  <tt class="py-line">            <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">'invalid function'</tt> </tt>
</div><a name="L216"></a><tt class="py-lineno">216</tt>  <tt class="py-line"> </tt>
<a name="L217"></a><tt class="py-lineno">217</tt>  <tt class="py-line"> </tt>
<a name="Controller.add_rule"></a><div id="Controller.add_rule-def"><a name="L218"></a><tt class="py-lineno">218</tt> <a class="py-toggle" href="#" id="Controller.add_rule-toggle" onclick="return toggle('Controller.add_rule');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.control.Controller-class.html#add_rule">add_rule</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">rule</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Controller.add_rule-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Controller.add_rule-expanded"><a name="L219"></a><tt class="py-lineno">219</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L220"></a><tt class="py-lineno">220</tt>  <tt class="py-line"><tt class="py-docstring">        Adds a decision rule to the knowledge base.</tt> </tt>
<a name="L221"></a><tt class="py-lineno">221</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L222"></a><tt class="py-lineno">222</tt>  <tt class="py-line"><tt class="py-docstring">        It is essential to understand the format that decision rules must follow</tt> </tt>
<a name="L223"></a><tt class="py-lineno">223</tt>  <tt class="py-line"><tt class="py-docstring">        to obtain correct behaviour of the controller. A rule is a tuple must</tt> </tt>
<a name="L224"></a><tt class="py-lineno">224</tt>  <tt class="py-line"><tt class="py-docstring">        have the following format::</tt> </tt>
<a name="L225"></a><tt class="py-lineno">225</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L226"></a><tt class="py-lineno">226</tt>  <tt class="py-line"><tt class="py-docstring">        ((mx0, mx1, ..., mxn), my)</tt> </tt>
<a name="L227"></a><tt class="py-lineno">227</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L228"></a><tt class="py-lineno">228</tt>  <tt class="py-line"><tt class="py-docstring">        where ``mx0`` is a membership function of the first input variable,</tt> </tt>
<a name="L229"></a><tt class="py-lineno">229</tt>  <tt class="py-line"><tt class="py-docstring">        ``mx1`` is a membership function of the second input variable and so on;</tt> </tt>
<a name="L230"></a><tt class="py-lineno">230</tt>  <tt class="py-line"><tt class="py-docstring">        and ``my`` is a membership function or a fuzzy set of the output</tt> </tt>
<a name="L231"></a><tt class="py-lineno">231</tt>  <tt class="py-line"><tt class="py-docstring">        variable.</tt> </tt>
<a name="L232"></a><tt class="py-lineno">232</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L233"></a><tt class="py-lineno">233</tt>  <tt class="py-line"><tt class="py-docstring">        Notice that ``mx``'s are *functions* not fuzzy sets! They will be</tt> </tt>
<a name="L234"></a><tt class="py-lineno">234</tt>  <tt class="py-line"><tt class="py-docstring">        applied to the values of the input variables given in the function call,</tt> </tt>
<a name="L235"></a><tt class="py-lineno">235</tt>  <tt class="py-line"><tt class="py-docstring">        so, if they are anything different from a membership function, an</tt> </tt>
<a name="L236"></a><tt class="py-lineno">236</tt>  <tt class="py-line"><tt class="py-docstring">        exception will be raised when the controller is used. Please, consult</tt> </tt>
<a name="L237"></a><tt class="py-lineno">237</tt>  <tt class="py-line"><tt class="py-docstring">        the examples to see how they must be used.</tt> </tt>
<a name="L238"></a><tt class="py-lineno">238</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L239"></a><tt class="py-lineno">239</tt>  <tt class="py-line">        <tt class="py-name">mx</tt><tt class="py-op">,</tt> <tt class="py-name">my</tt> <tt class="py-op">=</tt> <tt class="py-name">rule</tt> </tt>
<a name="L240"></a><tt class="py-lineno">240</tt>  <tt class="py-line">        <tt class="py-keyword">for</tt> <tt class="py-name">m</tt> <tt class="py-keyword">in</tt> <tt class="py-name">mx</tt><tt class="py-op">:</tt> </tt>
<a name="L241"></a><tt class="py-lineno">241</tt>  <tt class="py-line">            <tt class="py-keyword">if</tt> <tt class="py-keyword">not</tt> <tt class="py-op">(</tt><tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt class="py-name">m</tt><tt class="py-op">,</tt> <tt id="link-19" class="py-name" targets="Class peach.fuzzy.mf.Membership=peach.fuzzy.mf.Membership-class.html"><a title="peach.fuzzy.mf.Membership" class="py-name" href="#" onclick="return doclink('link-19', 'Membership', 'link-19');">Membership</a></tt><tt class="py-op">)</tt> <tt class="py-keyword">or</tt> <tt class="py-name">m</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L242"></a><tt class="py-lineno">242</tt>  <tt class="py-line">                <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">'condition not a membership function'</tt> </tt>
<a name="L243"></a><tt class="py-lineno">243</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt class="py-name">my</tt><tt class="py-op">,</tt> <tt id="link-20" class="py-name"><a title="peach.fuzzy.mf.Membership" class="py-name" href="#" onclick="return doclink('link-20', 'Membership', 'link-19');">Membership</a></tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L244"></a><tt class="py-lineno">244</tt>  <tt class="py-line">            <tt class="py-name">rule</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">mx</tt><tt class="py-op">,</tt> <tt class="py-name">my</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__y</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L245"></a><tt class="py-lineno">245</tt>  <tt class="py-line">        <tt class="py-keyword">elif</tt> <tt class="py-keyword">not</tt> <tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt class="py-name">my</tt><tt class="py-op">,</tt> <tt id="link-21" class="py-name" targets="Class peach.fuzzy.base.FuzzySet=peach.fuzzy.base.FuzzySet-class.html"><a title="peach.fuzzy.base.FuzzySet" class="py-name" href="#" onclick="return doclink('link-21', 'FuzzySet', 'link-21');">FuzzySet</a></tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L246"></a><tt class="py-lineno">246</tt>  <tt class="py-line">            <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">'consequent not a fuzzy set or membership function'</tt> </tt>
<a name="L247"></a><tt class="py-lineno">247</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__rules</tt><tt class="py-op">.</tt><tt class="py-name">append</tt><tt class="py-op">(</tt><tt class="py-name">rule</tt><tt class="py-op">)</tt> </tt>
</div><a name="L248"></a><tt class="py-lineno">248</tt>  <tt class="py-line"> </tt>
<a name="L249"></a><tt class="py-lineno">249</tt>  <tt class="py-line"> </tt>
<a name="Controller.add_table"></a><div id="Controller.add_table-def"><a name="L250"></a><tt class="py-lineno">250</tt> <a class="py-toggle" href="#" id="Controller.add_table-toggle" onclick="return toggle('Controller.add_table');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.control.Controller-class.html#add_table">add_table</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">lx1</tt><tt class="py-op">,</tt> <tt class="py-param">lx2</tt><tt class="py-op">,</tt> <tt class="py-param">table</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Controller.add_table-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Controller.add_table-expanded"><a name="L251"></a><tt class="py-lineno">251</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L252"></a><tt class="py-lineno">252</tt>  <tt class="py-line"><tt class="py-docstring">        Adds a table of decision rules in a two variable controller.</tt> </tt>
<a name="L253"></a><tt class="py-lineno">253</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L254"></a><tt class="py-lineno">254</tt>  <tt class="py-line"><tt class="py-docstring">        Typically, fuzzy controllers are used to control two variables. In that</tt> </tt>
<a name="L255"></a><tt class="py-lineno">255</tt>  <tt class="py-line"><tt class="py-docstring">        case, the set of decision rules are given in the form of a table, since</tt> </tt>
<a name="L256"></a><tt class="py-lineno">256</tt>  <tt class="py-line"><tt class="py-docstring">        that is a more compact format and very easy to visualize. This is a</tt> </tt>
<a name="L257"></a><tt class="py-lineno">257</tt>  <tt class="py-line"><tt class="py-docstring">        convenience function that allows to add decision rules in the form of a</tt> </tt>
<a name="L258"></a><tt class="py-lineno">258</tt>  <tt class="py-line"><tt class="py-docstring">        table. Notice that the resulting knowledge base will be the same if this</tt> </tt>
<a name="L259"></a><tt class="py-lineno">259</tt>  <tt class="py-line"><tt class="py-docstring">        function is used or the ``add_rule`` method is used with every single</tt> </tt>
<a name="L260"></a><tt class="py-lineno">260</tt>  <tt class="py-line"><tt class="py-docstring">        rule. The second method is in general easier to read in a script, so</tt> </tt>
<a name="L261"></a><tt class="py-lineno">261</tt>  <tt class="py-line"><tt class="py-docstring">        consider well.</tt> </tt>
<a name="L262"></a><tt class="py-lineno">262</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L263"></a><tt class="py-lineno">263</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L264"></a><tt class="py-lineno">264</tt>  <tt class="py-line"><tt class="py-docstring">          lx1</tt> </tt>
<a name="L265"></a><tt class="py-lineno">265</tt>  <tt class="py-line"><tt class="py-docstring">            The set of membership functions to the variable ``x1``, or the</tt> </tt>
<a name="L266"></a><tt class="py-lineno">266</tt>  <tt class="py-line"><tt class="py-docstring">            lines of the table</tt> </tt>
<a name="L267"></a><tt class="py-lineno">267</tt>  <tt class="py-line"><tt class="py-docstring">          lx2</tt> </tt>
<a name="L268"></a><tt class="py-lineno">268</tt>  <tt class="py-line"><tt class="py-docstring">            The set of membership functions to the variable ``x2``, or the</tt> </tt>
<a name="L269"></a><tt class="py-lineno">269</tt>  <tt class="py-line"><tt class="py-docstring">            columns of the table</tt> </tt>
<a name="L270"></a><tt class="py-lineno">270</tt>  <tt class="py-line"><tt class="py-docstring">          table</tt> </tt>
<a name="L271"></a><tt class="py-lineno">271</tt>  <tt class="py-line"><tt class="py-docstring">            The consequent of the rule where the condition is the line ``and``</tt> </tt>
<a name="L272"></a><tt class="py-lineno">272</tt>  <tt class="py-line"><tt class="py-docstring">            the column. These can be the membership functions or fuzzy sets.</tt> </tt>
<a name="L273"></a><tt class="py-lineno">273</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L274"></a><tt class="py-lineno">274</tt>  <tt class="py-line">        <tt class="py-keyword">for</tt> <tt class="py-name">i</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">lx1</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L275"></a><tt class="py-lineno">275</tt>  <tt class="py-line">            <tt class="py-keyword">for</tt> <tt class="py-name">j</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">lx2</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L276"></a><tt class="py-lineno">276</tt>  <tt class="py-line">                <tt class="py-name">my</tt> <tt class="py-op">=</tt> <tt class="py-name">table</tt><tt class="py-op">[</tt><tt class="py-name">i</tt><tt class="py-op">]</tt><tt class="py-op">[</tt><tt class="py-name">j</tt><tt class="py-op">]</tt> </tt>
<a name="L277"></a><tt class="py-lineno">277</tt>  <tt class="py-line">                <tt class="py-keyword">if</tt> <tt class="py-name">my</tt> <tt class="py-keyword">is</tt> <tt class="py-keyword">not</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L278"></a><tt class="py-lineno">278</tt>  <tt class="py-line">                    <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-22" class="py-name"><a title="peach.fuzzy.control.Controller.add_rule
peach.fuzzy.control.Parametric.add_rule" class="py-name" href="#" onclick="return doclink('link-22', 'add_rule', 'link-13');">add_rule</a></tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">lx1</tt><tt class="py-op">[</tt><tt class="py-name">i</tt><tt class="py-op">]</tt><tt class="py-op">,</tt> <tt class="py-name">lx2</tt><tt class="py-op">[</tt><tt class="py-name">j</tt><tt class="py-op">]</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">my</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
</div><a name="L279"></a><tt class="py-lineno">279</tt>  <tt class="py-line"> </tt>
<a name="L280"></a><tt class="py-lineno">280</tt>  <tt class="py-line"> </tt>
<a name="Controller.eval"></a><div id="Controller.eval-def"><a name="L281"></a><tt class="py-lineno">281</tt> <a class="py-toggle" href="#" id="Controller.eval-toggle" onclick="return toggle('Controller.eval');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.control.Controller-class.html#eval">eval</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">r</tt><tt class="py-op">,</tt> <tt class="py-param">xs</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Controller.eval-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Controller.eval-expanded"><a name="L282"></a><tt class="py-lineno">282</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L283"></a><tt class="py-lineno">283</tt>  <tt class="py-line"><tt class="py-docstring">        Evaluates one decision rule in this controller</tt> </tt>
<a name="L284"></a><tt class="py-lineno">284</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L285"></a><tt class="py-lineno">285</tt>  <tt class="py-line"><tt class="py-docstring">        Takes a rule from the controller and evaluates it given the values of</tt> </tt>
<a name="L286"></a><tt class="py-lineno">286</tt>  <tt class="py-line"><tt class="py-docstring">        the input variables.</tt> </tt>
<a name="L287"></a><tt class="py-lineno">287</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L288"></a><tt class="py-lineno">288</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L289"></a><tt class="py-lineno">289</tt>  <tt class="py-line"><tt class="py-docstring">          r</tt> </tt>
<a name="L290"></a><tt class="py-lineno">290</tt>  <tt class="py-line"><tt class="py-docstring">            The rule in the standard format, or an integer number. If ``r`` is</tt> </tt>
<a name="L291"></a><tt class="py-lineno">291</tt>  <tt class="py-line"><tt class="py-docstring">            an integer, then the ``r`` th rule in the knowledge base will be</tt> </tt>
<a name="L292"></a><tt class="py-lineno">292</tt>  <tt class="py-line"><tt class="py-docstring">            evaluated.</tt> </tt>
<a name="L293"></a><tt class="py-lineno">293</tt>  <tt class="py-line"><tt class="py-docstring">          xs</tt> </tt>
<a name="L294"></a><tt class="py-lineno">294</tt>  <tt class="py-line"><tt class="py-docstring">            A tuple, a list or an array containing the values of the input</tt> </tt>
<a name="L295"></a><tt class="py-lineno">295</tt>  <tt class="py-line"><tt class="py-docstring">            variables. The dimension must be coherent with the given rule.</tt> </tt>
<a name="L296"></a><tt class="py-lineno">296</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L297"></a><tt class="py-lineno">297</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L298"></a><tt class="py-lineno">298</tt>  <tt class="py-line"><tt class="py-docstring">          This method evaluates each membership function in the rule for each</tt> </tt>
<a name="L299"></a><tt class="py-lineno">299</tt>  <tt class="py-line"><tt class="py-docstring">          given value, and ``and`` 's the results to obtain the condition. If</tt> </tt>
<a name="L300"></a><tt class="py-lineno">300</tt>  <tt class="py-line"><tt class="py-docstring">          the condition is zero, a tuple ``(0.0, None) is returned. Otherwise,</tt> </tt>
<a name="L301"></a><tt class="py-lineno">301</tt>  <tt class="py-line"><tt class="py-docstring">          the condition is ``imply`` ed in the membership function of the output</tt> </tt>
<a name="L302"></a><tt class="py-lineno">302</tt>  <tt class="py-line"><tt class="py-docstring">          variable. A tuple containing ``(condition, imply)`` (the membership</tt> </tt>
<a name="L303"></a><tt class="py-lineno">303</tt>  <tt class="py-line"><tt class="py-docstring">          value associated to the condition and the result of the implication)</tt> </tt>
<a name="L304"></a><tt class="py-lineno">304</tt>  <tt class="py-line"><tt class="py-docstring">          is returned.</tt> </tt>
<a name="L305"></a><tt class="py-lineno">305</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L306"></a><tt class="py-lineno">306</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">type</tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">)</tt> <tt class="py-keyword">is</tt> <tt class="py-name">types</tt><tt class="py-op">.</tt><tt class="py-name">IntType</tt><tt class="py-op">:</tt> </tt>
<a name="L307"></a><tt class="py-lineno">307</tt>  <tt class="py-line">            <tt class="py-name">r</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__rules</tt><tt class="py-op">[</tt><tt class="py-name">r</tt><tt class="py-op">]</tt> </tt>
<a name="L308"></a><tt class="py-lineno">308</tt>  <tt class="py-line">        <tt class="py-name">mx</tt><tt class="py-op">,</tt> <tt class="py-name">my</tt> <tt class="py-op">=</tt> <tt class="py-name">r</tt> </tt>
<a name="L309"></a><tt class="py-lineno">309</tt>  <tt class="py-line">        <tt class="py-comment"># Finds the membership value for each xn</tt> </tt>
<a name="L310"></a><tt class="py-lineno">310</tt>  <tt class="py-line">        <tt class="py-name">cl</tt> <tt class="py-op">=</tt> <tt class="py-op">[</tt> <tt class="py-name">m</tt><tt class="py-op">(</tt><tt id="link-23" class="py-name" targets="Variable peach.fuzzy.cmeans.FuzzyCMeans.x=peach.fuzzy.cmeans.FuzzyCMeans-class.html#x,Variable peach.optm.linear.Direct1D.x=peach.optm.linear.Direct1D-class.html#x,Variable peach.optm.linear.GoldenRule.x=peach.optm.linear.GoldenRule-class.html#x,Variable peach.optm.linear.Interpolation.x=peach.optm.linear.Interpolation-class.html#x,Variable peach.optm.multivar.Direct.x=peach.optm.multivar.Direct-class.html#x,Variable peach.optm.multivar.Gradient.x=peach.optm.multivar.Gradient-class.html#x,Variable peach.optm.multivar.MomentumGradient.x=peach.optm.multivar.MomentumGradient-class.html#x,Variable peach.optm.multivar.Newton.x=peach.optm.multivar.Newton-class.html#x,Variable peach.optm.quasinewton.DFP.x=peach.optm.quasinewton.DFP-class.html#x,Variable peach.optm.quasinewton.SR1.x=peach.optm.quasinewton.SR1-class.html#x,Variable peach.sa.base.BinarySA.x=peach.sa.base.BinarySA-class.html#x,Variable peach.sa.base.ContinuousSA.x=peach.sa.base.ContinuousSA-class.html#x"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-23', 'x', 'link-23');">x</a></tt><tt class="py-op">)</tt> <tt class="py-keyword">for</tt> <tt class="py-name">m</tt><tt class="py-op">,</tt> <tt id="link-24" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-24', 'x', 'link-23');">x</a></tt> <tt class="py-keyword">in</tt> <tt class="py-name">zip</tt><tt class="py-op">(</tt><tt class="py-name">mx</tt><tt class="py-op">,</tt> <tt class="py-name">xs</tt><tt class="py-op">)</tt> <tt class="py-keyword">if</tt> <tt class="py-name">m</tt> <tt class="py-keyword">is</tt> <tt class="py-keyword">not</tt> <tt class="py-name">None</tt> <tt class="py-op">]</tt> </tt>
<a name="L311"></a><tt class="py-lineno">311</tt>  <tt class="py-line">        <tt class="py-comment"># Apply the ``and`` operation</tt> </tt>
<a name="L312"></a><tt class="py-lineno">312</tt>  <tt class="py-line">        <tt class="py-name">mr</tt> <tt class="py-op">=</tt> <tt class="py-name">reduce</tt><tt class="py-op">(</tt><tt class="py-keyword">lambda</tt> <tt class="py-name">x0</tt><tt class="py-op">,</tt> <tt class="py-name">x1</tt><tt class="py-op">:</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__AND__</tt><tt class="py-op">(</tt><tt class="py-name">x0</tt><tt class="py-op">,</tt> <tt class="py-name">x1</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">cl</tt><tt class="py-op">)</tt> </tt>
<a name="L313"></a><tt class="py-lineno">313</tt>  <tt class="py-line">        <tt class="py-comment"># Implication, unnecessary if mr == 0</tt> </tt>
<a name="L314"></a><tt class="py-lineno">314</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">mr</tt> <tt class="py-op">==</tt> <tt class="py-number">0.0</tt><tt class="py-op">:</tt> </tt>
<a name="L315"></a><tt class="py-lineno">315</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-op">(</tt><tt class="py-number">0.0</tt><tt class="py-op">,</tt> <tt class="py-name">None</tt><tt class="py-op">)</tt> </tt>
<a name="L316"></a><tt class="py-lineno">316</tt>  <tt class="py-line">        <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L317"></a><tt class="py-lineno">317</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-op">(</tt><tt class="py-name">mr</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__IMP__</tt><tt class="py-op">(</tt><tt class="py-name">mr</tt><tt class="py-op">,</tt> <tt class="py-name">my</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
</div><a name="L318"></a><tt class="py-lineno">318</tt>  <tt class="py-line"> </tt>
<a name="L319"></a><tt class="py-lineno">319</tt>  <tt class="py-line"> </tt>
<a name="Controller.eval_all"></a><div id="Controller.eval_all-def"><a name="L320"></a><tt class="py-lineno">320</tt> <a class="py-toggle" href="#" id="Controller.eval_all-toggle" onclick="return toggle('Controller.eval_all');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.control.Controller-class.html#eval_all">eval_all</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-op">*</tt><tt class="py-param">xs</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Controller.eval_all-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Controller.eval_all-expanded"><a name="L321"></a><tt class="py-lineno">321</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L322"></a><tt class="py-lineno">322</tt>  <tt class="py-line"><tt class="py-docstring">        Evaluates all the rules and aglutinates the results.</tt> </tt>
<a name="L323"></a><tt class="py-lineno">323</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L324"></a><tt class="py-lineno">324</tt>  <tt class="py-line"><tt class="py-docstring">        Given the values of the input variables, evaluate and apply every rule</tt> </tt>
<a name="L325"></a><tt class="py-lineno">325</tt>  <tt class="py-line"><tt class="py-docstring">        in the knowledge base (with the ``eval`` method) and aglutinates the</tt> </tt>
<a name="L326"></a><tt class="py-lineno">326</tt>  <tt class="py-line"><tt class="py-docstring">        results.</tt> </tt>
<a name="L327"></a><tt class="py-lineno">327</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L328"></a><tt class="py-lineno">328</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L329"></a><tt class="py-lineno">329</tt>  <tt class="py-line"><tt class="py-docstring">          xs</tt> </tt>
<a name="L330"></a><tt class="py-lineno">330</tt>  <tt class="py-line"><tt class="py-docstring">            A tuple, a list or an array with the values of the input variables.</tt> </tt>
<a name="L331"></a><tt class="py-lineno">331</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L332"></a><tt class="py-lineno">332</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L333"></a><tt class="py-lineno">333</tt>  <tt class="py-line"><tt class="py-docstring">          A fuzzy set containing the result of the evaluation of every rule in</tt> </tt>
<a name="L334"></a><tt class="py-lineno">334</tt>  <tt class="py-line"><tt class="py-docstring">          the knowledge base, with the results aglutinated.</tt> </tt>
<a name="L335"></a><tt class="py-lineno">335</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L336"></a><tt class="py-lineno">336</tt>  <tt class="py-line">        <tt class="py-name">ry</tt> <tt class="py-op">=</tt> <tt id="link-25" class="py-name"><a title="peach.fuzzy.base.FuzzySet" class="py-name" href="#" onclick="return doclink('link-25', 'FuzzySet', 'link-21');">FuzzySet</a></tt><tt class="py-op">(</tt><tt class="py-name">zeros</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__y</tt><tt class="py-op">.</tt><tt id="link-26" class="py-name" targets="Variable peach.nn.base.Layer.shape=peach.nn.base.Layer-class.html#shape"><a title="peach.nn.base.Layer.shape" class="py-name" href="#" onclick="return doclink('link-26', 'shape', 'link-26');">shape</a></tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L337"></a><tt class="py-lineno">337</tt>  <tt class="py-line">        <tt class="py-keyword">for</tt> <tt class="py-name">r</tt> <tt class="py-keyword">in</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__rules</tt><tt class="py-op">:</tt> </tt>
<a name="L338"></a><tt class="py-lineno">338</tt>  <tt class="py-line">            <tt class="py-name">mr</tt><tt class="py-op">,</tt> <tt class="py-name">iy</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-27" class="py-name" targets="Method peach.fuzzy.control.Controller.eval()=peach.fuzzy.control.Controller-class.html#eval,Method peach.fuzzy.control.Parametric.eval()=peach.fuzzy.control.Parametric-class.html#eval"><a title="peach.fuzzy.control.Controller.eval
peach.fuzzy.control.Parametric.eval" class="py-name" href="#" onclick="return doclink('link-27', 'eval', 'link-27');">eval</a></tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">,</tt> <tt class="py-name">xs</tt><tt class="py-op">)</tt> </tt>
<a name="L339"></a><tt class="py-lineno">339</tt>  <tt class="py-line">            <tt class="py-keyword">if</tt> <tt class="py-name">mr</tt> <tt class="py-op">!=</tt> <tt class="py-number">0.0</tt><tt class="py-op">:</tt> </tt>
<a name="L340"></a><tt class="py-lineno">340</tt>  <tt class="py-line">                <tt class="py-name">ry</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__AGL__</tt><tt class="py-op">(</tt><tt class="py-name">ry</tt><tt class="py-op">,</tt> <tt class="py-name">iy</tt><tt class="py-op">)</tt> </tt>
<a name="L341"></a><tt class="py-lineno">341</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">ry</tt> </tt>
</div><a name="L342"></a><tt class="py-lineno">342</tt>  <tt class="py-line"> </tt>
<a name="L343"></a><tt class="py-lineno">343</tt>  <tt class="py-line"> </tt>
<a name="Controller.__call__"></a><div id="Controller.__call__-def"><a name="L344"></a><tt class="py-lineno">344</tt> <a class="py-toggle" href="#" id="Controller.__call__-toggle" onclick="return toggle('Controller.__call__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.control.Controller-class.html#__call__">__call__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-op">*</tt><tt class="py-param">xs</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Controller.__call__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Controller.__call__-expanded"><a name="L345"></a><tt class="py-lineno">345</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L346"></a><tt class="py-lineno">346</tt>  <tt class="py-line"><tt class="py-docstring">        Apply the controller to the set of input variables</tt> </tt>
<a name="L347"></a><tt class="py-lineno">347</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L348"></a><tt class="py-lineno">348</tt>  <tt class="py-line"><tt class="py-docstring">        Given the values of the input variables, evaluates every decision rule,</tt> </tt>
<a name="L349"></a><tt class="py-lineno">349</tt>  <tt class="py-line"><tt class="py-docstring">        aglutinates the results and defuzzify it. Returns the response of the</tt> </tt>
<a name="L350"></a><tt class="py-lineno">350</tt>  <tt class="py-line"><tt class="py-docstring">        controller.</tt> </tt>
<a name="L351"></a><tt class="py-lineno">351</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L352"></a><tt class="py-lineno">352</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L353"></a><tt class="py-lineno">353</tt>  <tt class="py-line"><tt class="py-docstring">          xs</tt> </tt>
<a name="L354"></a><tt class="py-lineno">354</tt>  <tt class="py-line"><tt class="py-docstring">            A tuple, a list or an array with the values of the input variables.</tt> </tt>
<a name="L355"></a><tt class="py-lineno">355</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L356"></a><tt class="py-lineno">356</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L357"></a><tt class="py-lineno">357</tt>  <tt class="py-line"><tt class="py-docstring">          The response of the controller.</tt> </tt>
<a name="L358"></a><tt class="py-lineno">358</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L359"></a><tt class="py-lineno">359</tt>  <tt class="py-line">        <tt class="py-name">ry</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-28" class="py-name" targets="Method peach.fuzzy.control.Controller.eval_all()=peach.fuzzy.control.Controller-class.html#eval_all"><a title="peach.fuzzy.control.Controller.eval_all" class="py-name" href="#" onclick="return doclink('link-28', 'eval_all', 'link-28');">eval_all</a></tt><tt class="py-op">(</tt><tt class="py-op">*</tt><tt class="py-name">xs</tt><tt class="py-op">)</tt> </tt>
<a name="L360"></a><tt class="py-lineno">360</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">defuzzify</tt><tt class="py-op">(</tt><tt class="py-name">ry</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__y</tt><tt class="py-op">)</tt> </tt>
</div></div><a name="L361"></a><tt class="py-lineno">361</tt>  <tt class="py-line"> </tt>
<a name="L362"></a><tt class="py-lineno">362</tt>  <tt class="py-line"> </tt>
<a name="Mamdani"></a><div id="Mamdani-def"><a name="L363"></a><tt class="py-lineno">363</tt> <a class="py-toggle" href="#" id="Mamdani-toggle" onclick="return toggle('Mamdani');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.fuzzy.control.Mamdani-class.html">Mamdani</a><tt class="py-op">(</tt><tt class="py-base-class">Controller</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Mamdani-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="Mamdani-expanded"><a name="L364"></a><tt class="py-lineno">364</tt>  <tt class="py-line">    <tt class="py-docstring">'''``Mandani`` is an alias to ``Controller``'''</tt> </tt>
<a name="L365"></a><tt class="py-lineno">365</tt>  <tt class="py-line">    <tt class="py-keyword">pass</tt> </tt>
</div><a name="L366"></a><tt class="py-lineno">366</tt>  <tt class="py-line"> </tt>
<a name="L367"></a><tt class="py-lineno">367</tt>  <tt class="py-line"> </tt>
<a name="L368"></a><tt class="py-lineno">368</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="L369"></a><tt class="py-lineno">369</tt>  <tt class="py-line"><tt class="py-comment"># Basic Takagi-Sugeno controller</tt> </tt>
<a name="L370"></a><tt class="py-lineno">370</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="Parametric"></a><div id="Parametric-def"><a name="L371"></a><tt class="py-lineno">371</tt> <a class="py-toggle" href="#" id="Parametric-toggle" onclick="return toggle('Parametric');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.fuzzy.control.Parametric-class.html">Parametric</a><tt class="py-op">(</tt><tt class="py-base-class">object</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Parametric-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="Parametric-expanded"><a name="L372"></a><tt class="py-lineno">372</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L373"></a><tt class="py-lineno">373</tt>  <tt class="py-line"><tt class="py-docstring">    Basic Parametric controller</tt> </tt>
<a name="L374"></a><tt class="py-lineno">374</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L375"></a><tt class="py-lineno">375</tt>  <tt class="py-line"><tt class="py-docstring">    This class implements a standard parametric (or Takagi-Sugeno) controller. A</tt> </tt>
<a name="L376"></a><tt class="py-lineno">376</tt>  <tt class="py-line"><tt class="py-docstring">    controller based on fuzzy logic has a somewhat complex behaviour, so it is</tt> </tt>
<a name="L377"></a><tt class="py-lineno">377</tt>  <tt class="py-line"><tt class="py-docstring">    not explained here. There are numerous references that can be consulted.</tt> </tt>
<a name="L378"></a><tt class="py-lineno">378</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L379"></a><tt class="py-lineno">379</tt>  <tt class="py-line"><tt class="py-docstring">    It is essential to understand the format that decision rules must follow to</tt> </tt>
<a name="L380"></a><tt class="py-lineno">380</tt>  <tt class="py-line"><tt class="py-docstring">    obtain correct behaviour of the controller. A rule is a tuple given by::</tt> </tt>
<a name="L381"></a><tt class="py-lineno">381</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L382"></a><tt class="py-lineno">382</tt>  <tt class="py-line"><tt class="py-docstring">        ((mx0, mx1, ..., mxn), (a0, a1, ..., an))</tt> </tt>
<a name="L383"></a><tt class="py-lineno">383</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L384"></a><tt class="py-lineno">384</tt>  <tt class="py-line"><tt class="py-docstring">    where ``mx0`` is a membership function of the first input variable, ``mx1``</tt> </tt>
<a name="L385"></a><tt class="py-lineno">385</tt>  <tt class="py-line"><tt class="py-docstring">    is a membership function of the second input variable and so on; and ``a0``</tt> </tt>
<a name="L386"></a><tt class="py-lineno">386</tt>  <tt class="py-line"><tt class="py-docstring">    is the linear parameter, ``a1`` is the parameter associated with the first</tt> </tt>
<a name="L387"></a><tt class="py-lineno">387</tt>  <tt class="py-line"><tt class="py-docstring">    input variable, ``a2`` is the parameter associated with the second input</tt> </tt>
<a name="L388"></a><tt class="py-lineno">388</tt>  <tt class="py-line"><tt class="py-docstring">    variable and so on. The response to the rule is calculated by::</tt> </tt>
<a name="L389"></a><tt class="py-lineno">389</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L390"></a><tt class="py-lineno">390</tt>  <tt class="py-line"><tt class="py-docstring">        y = a0 + a1*x1 + a2*x2 + ... + an*xn</tt> </tt>
<a name="L391"></a><tt class="py-lineno">391</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L392"></a><tt class="py-lineno">392</tt>  <tt class="py-line"><tt class="py-docstring">    Notice that ``mx``'s are *functions* not fuzzy sets! They will be applied to</tt> </tt>
<a name="L393"></a><tt class="py-lineno">393</tt>  <tt class="py-line"><tt class="py-docstring">    the values of the input variables given in the function call, so, if they</tt> </tt>
<a name="L394"></a><tt class="py-lineno">394</tt>  <tt class="py-line"><tt class="py-docstring">    are anything different from a membership function, an exception will be</tt> </tt>
<a name="L395"></a><tt class="py-lineno">395</tt>  <tt class="py-line"><tt class="py-docstring">    raised. Please, consult the examples to see how they must be used.</tt> </tt>
<a name="L396"></a><tt class="py-lineno">396</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="Parametric.__init__"></a><div id="Parametric.__init__-def"><a name="L397"></a><tt class="py-lineno">397</tt> <a class="py-toggle" href="#" id="Parametric.__init__-toggle" onclick="return toggle('Parametric.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.control.Parametric-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">rules</tt> <tt class="py-op">=</tt> <tt class="py-op">[</tt><tt class="py-op">]</tt><tt class="py-op">,</tt> <tt class="py-param">norm</tt><tt class="py-op">=</tt><tt id="link-29" class="py-name" targets="Function peach.fuzzy.norms.ProbabilisticAnd()=peach.fuzzy.norms-module.html#ProbabilisticAnd"><a title="peach.fuzzy.norms.ProbabilisticAnd" class="py-name" href="#" onclick="return doclink('link-29', 'ProbabilisticAnd', 'link-29');">ProbabilisticAnd</a></tt><tt class="py-op">,</tt> </tt>
<a name="L398"></a><tt class="py-lineno">398</tt>  <tt class="py-line">                 <tt class="py-param">conorm</tt><tt class="py-op">=</tt><tt id="link-30" class="py-name" targets="Function peach.fuzzy.norms.ProbabilisticOr()=peach.fuzzy.norms-module.html#ProbabilisticOr"><a title="peach.fuzzy.norms.ProbabilisticOr" class="py-name" href="#" onclick="return doclink('link-30', 'ProbabilisticOr', 'link-30');">ProbabilisticOr</a></tt><tt class="py-op">,</tt> <tt class="py-param">negation</tt><tt class="py-op">=</tt><tt id="link-31" class="py-name" targets="Function peach.fuzzy.norms.ProbabilisticNot()=peach.fuzzy.norms-module.html#ProbabilisticNot"><a title="peach.fuzzy.norms.ProbabilisticNot" class="py-name" href="#" onclick="return doclink('link-31', 'ProbabilisticNot', 'link-31');">ProbabilisticNot</a></tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Parametric.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Parametric.__init__-expanded"><a name="L399"></a><tt class="py-lineno">399</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L400"></a><tt class="py-lineno">400</tt>  <tt class="py-line"><tt class="py-docstring">        Creates and initializes the controller.</tt> </tt>
<a name="L401"></a><tt class="py-lineno">401</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L402"></a><tt class="py-lineno">402</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L403"></a><tt class="py-lineno">403</tt>  <tt class="py-line"><tt class="py-docstring">          rules</tt> </tt>
<a name="L404"></a><tt class="py-lineno">404</tt>  <tt class="py-line"><tt class="py-docstring">            List containing the decision rules for the controller. If not given,</tt> </tt>
<a name="L405"></a><tt class="py-lineno">405</tt>  <tt class="py-line"><tt class="py-docstring">            an empty set of decision rules is used.</tt> </tt>
<a name="L406"></a><tt class="py-lineno">406</tt>  <tt class="py-line"><tt class="py-docstring">          norm</tt> </tt>
<a name="L407"></a><tt class="py-lineno">407</tt>  <tt class="py-line"><tt class="py-docstring">            The norm (``and`` operation) to be used. Defaults to Probabilistic</tt> </tt>
<a name="L408"></a><tt class="py-lineno">408</tt>  <tt class="py-line"><tt class="py-docstring">            and.</tt> </tt>
<a name="L409"></a><tt class="py-lineno">409</tt>  <tt class="py-line"><tt class="py-docstring">          conorm</tt> </tt>
<a name="L410"></a><tt class="py-lineno">410</tt>  <tt class="py-line"><tt class="py-docstring">            The conorm (``or`` operation) to be used. Defaults to Probabilistic</tt> </tt>
<a name="L411"></a><tt class="py-lineno">411</tt>  <tt class="py-line"><tt class="py-docstring">            or.</tt> </tt>
<a name="L412"></a><tt class="py-lineno">412</tt>  <tt class="py-line"><tt class="py-docstring">          negation</tt> </tt>
<a name="L413"></a><tt class="py-lineno">413</tt>  <tt class="py-line"><tt class="py-docstring">            The negation (``not`` operation) to be used. Defaults to</tt> </tt>
<a name="L414"></a><tt class="py-lineno">414</tt>  <tt class="py-line"><tt class="py-docstring">            Probabilistic not.</tt> </tt>
<a name="L415"></a><tt class="py-lineno">415</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L416"></a><tt class="py-lineno">416</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__rules</tt> <tt class="py-op">=</tt> <tt class="py-op">[</tt> <tt class="py-op">]</tt> </tt>
<a name="L417"></a><tt class="py-lineno">417</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt id="link-32" class="py-name"><a title="peach.fuzzy.control.Controller.rules
peach.fuzzy.control.Parametric.rules" class="py-name" href="#" onclick="return doclink('link-32', 'rules', 'link-11');">rules</a></tt><tt class="py-op">,</tt> <tt class="py-name">list</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L418"></a><tt class="py-lineno">418</tt>  <tt class="py-line">            <tt class="py-keyword">for</tt> <tt class="py-name">r</tt> <tt class="py-keyword">in</tt> <tt id="link-33" class="py-name"><a title="peach.fuzzy.control.Controller.rules
peach.fuzzy.control.Parametric.rules" class="py-name" href="#" onclick="return doclink('link-33', 'rules', 'link-11');">rules</a></tt><tt class="py-op">:</tt> </tt>
<a name="L419"></a><tt class="py-lineno">419</tt>  <tt class="py-line">                <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">add_rules</tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">)</tt> </tt>
<a name="L420"></a><tt class="py-lineno">420</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__AND__</tt> <tt class="py-op">=</tt> <tt class="py-name">norm</tt> </tt>
<a name="L421"></a><tt class="py-lineno">421</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__OR__</tt> <tt class="py-op">=</tt> <tt class="py-name">conorm</tt> </tt>
<a name="L422"></a><tt class="py-lineno">422</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__NOT__</tt> <tt class="py-op">=</tt> <tt class="py-name">negation</tt> </tt>
</div><a name="L423"></a><tt class="py-lineno">423</tt>  <tt class="py-line"> </tt>
<a name="L424"></a><tt class="py-lineno">424</tt>  <tt class="py-line"> </tt>
<a name="Parametric.__getrules"></a><div id="Parametric.__getrules-def"><a name="L425"></a><tt class="py-lineno">425</tt> <a class="py-toggle" href="#" id="Parametric.__getrules-toggle" onclick="return toggle('Parametric.__getrules');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.control.Parametric-class.html#__getrules">__getrules</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Parametric.__getrules-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Parametric.__getrules-expanded"><a name="L426"></a><tt class="py-lineno">426</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__rules</tt><tt class="py-op">[</tt><tt class="py-op">:</tt><tt class="py-op">]</tt> </tt>
</div><a name="L427"></a><tt class="py-lineno">427</tt>  <tt class="py-line">    <tt id="link-34" class="py-name"><a title="peach.fuzzy.control.Controller.rules
peach.fuzzy.control.Parametric.rules" class="py-name" href="#" onclick="return doclink('link-34', 'rules', 'link-11');">rules</a></tt> <tt class="py-op">=</tt> <tt class="py-name">property</tt><tt class="py-op">(</tt><tt id="link-35" class="py-name"><a title="peach.fuzzy.control.Controller.__getrules
peach.fuzzy.control.Parametric.__getrules" class="py-name" href="#" onclick="return doclink('link-35', '__getrules', 'link-18');">__getrules</a></tt><tt class="py-op">,</tt> <tt class="py-name">None</tt><tt class="py-op">)</tt> </tt>
<a name="L428"></a><tt class="py-lineno">428</tt>  <tt class="py-line">    <tt class="py-string">'''Property that returns the list of decision rules. Not writable'''</tt> </tt>
<a name="L429"></a><tt class="py-lineno">429</tt>  <tt class="py-line"> </tt>
<a name="L430"></a><tt class="py-lineno">430</tt>  <tt class="py-line"> </tt>
<a name="Parametric.add_rule"></a><div id="Parametric.add_rule-def"><a name="L431"></a><tt class="py-lineno">431</tt> <a class="py-toggle" href="#" id="Parametric.add_rule-toggle" onclick="return toggle('Parametric.add_rule');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.control.Parametric-class.html#add_rule">add_rule</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">rule</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Parametric.add_rule-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Parametric.add_rule-expanded"><a name="L432"></a><tt class="py-lineno">432</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L433"></a><tt class="py-lineno">433</tt>  <tt class="py-line"><tt class="py-docstring">        Adds a decision rule to the knowledge base.</tt> </tt>
<a name="L434"></a><tt class="py-lineno">434</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L435"></a><tt class="py-lineno">435</tt>  <tt class="py-line"><tt class="py-docstring">        It is essential to understand the format that decision rules must follow</tt> </tt>
<a name="L436"></a><tt class="py-lineno">436</tt>  <tt class="py-line"><tt class="py-docstring">        to obtain correct behaviour of the controller. A rule is a tuple given</tt> </tt>
<a name="L437"></a><tt class="py-lineno">437</tt>  <tt class="py-line"><tt class="py-docstring">        by::</tt> </tt>
<a name="L438"></a><tt class="py-lineno">438</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L439"></a><tt class="py-lineno">439</tt>  <tt class="py-line"><tt class="py-docstring">            ((mx0, mx1, ..., mxn), (a0, a1, ..., an))</tt> </tt>
<a name="L440"></a><tt class="py-lineno">440</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L441"></a><tt class="py-lineno">441</tt>  <tt class="py-line"><tt class="py-docstring">        where ``mx0`` is a membership function of the first input variable,</tt> </tt>
<a name="L442"></a><tt class="py-lineno">442</tt>  <tt class="py-line"><tt class="py-docstring">        ``mx1`` is a membership function of the second input variable and so on;</tt> </tt>
<a name="L443"></a><tt class="py-lineno">443</tt>  <tt class="py-line"><tt class="py-docstring">        and ``a0`` is the linear parameter, ``a1`` is the parameter associated</tt> </tt>
<a name="L444"></a><tt class="py-lineno">444</tt>  <tt class="py-line"><tt class="py-docstring">        with the first input variable, ``a2`` is the parameter associated with</tt> </tt>
<a name="L445"></a><tt class="py-lineno">445</tt>  <tt class="py-line"><tt class="py-docstring">        the second input variable and so on.</tt> </tt>
<a name="L446"></a><tt class="py-lineno">446</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L447"></a><tt class="py-lineno">447</tt>  <tt class="py-line"><tt class="py-docstring">        Notice that ``mx``'s are *functions* not fuzzy sets! They will be</tt> </tt>
<a name="L448"></a><tt class="py-lineno">448</tt>  <tt class="py-line"><tt class="py-docstring">        applied to the values of the input variables given in the function call,</tt> </tt>
<a name="L449"></a><tt class="py-lineno">449</tt>  <tt class="py-line"><tt class="py-docstring">        so, if they are anything different from a membership function, an</tt> </tt>
<a name="L450"></a><tt class="py-lineno">450</tt>  <tt class="py-line"><tt class="py-docstring">        exception will be raised. Please, consult the examples to see how they</tt> </tt>
<a name="L451"></a><tt class="py-lineno">451</tt>  <tt class="py-line"><tt class="py-docstring">        must be used.</tt> </tt>
<a name="L452"></a><tt class="py-lineno">452</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L453"></a><tt class="py-lineno">453</tt>  <tt class="py-line">        <tt class="py-name">mx</tt><tt class="py-op">,</tt> <tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt class="py-name">rule</tt> </tt>
<a name="L454"></a><tt class="py-lineno">454</tt>  <tt class="py-line">        <tt class="py-keyword">for</tt> <tt class="py-name">m</tt> <tt class="py-keyword">in</tt> <tt class="py-name">mx</tt><tt class="py-op">:</tt> </tt>
<a name="L455"></a><tt class="py-lineno">455</tt>  <tt class="py-line">            <tt class="py-keyword">if</tt> <tt class="py-keyword">not</tt> <tt class="py-op">(</tt><tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt class="py-name">m</tt><tt class="py-op">,</tt> <tt id="link-36" class="py-name"><a title="peach.fuzzy.mf.Membership" class="py-name" href="#" onclick="return doclink('link-36', 'Membership', 'link-19');">Membership</a></tt><tt class="py-op">)</tt> <tt class="py-keyword">or</tt> <tt class="py-name">m</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L456"></a><tt class="py-lineno">456</tt>  <tt class="py-line">                <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">'condition not a membership function'</tt> </tt>
<a name="L457"></a><tt class="py-lineno">457</tt>  <tt class="py-line">        <tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt class="py-name">array</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">,</tt> <tt class="py-name">dtype</tt><tt class="py-op">=</tt><tt class="py-name">float</tt><tt class="py-op">)</tt> </tt>
<a name="L458"></a><tt class="py-lineno">458</tt>  <tt class="py-line">        <tt class="py-name">rule</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">mx</tt><tt class="py-op">,</tt> <tt class="py-name">a</tt><tt class="py-op">)</tt> </tt>
<a name="L459"></a><tt class="py-lineno">459</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__rules</tt><tt class="py-op">.</tt><tt class="py-name">append</tt><tt class="py-op">(</tt><tt class="py-name">rule</tt><tt class="py-op">)</tt> </tt>
</div><a name="L460"></a><tt class="py-lineno">460</tt>  <tt class="py-line"> </tt>
<a name="L461"></a><tt class="py-lineno">461</tt>  <tt class="py-line"> </tt>
<a name="Parametric.eval"></a><div id="Parametric.eval-def"><a name="L462"></a><tt class="py-lineno">462</tt> <a class="py-toggle" href="#" id="Parametric.eval-toggle" onclick="return toggle('Parametric.eval');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.control.Parametric-class.html#eval">eval</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">r</tt><tt class="py-op">,</tt> <tt class="py-param">xs</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Parametric.eval-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Parametric.eval-expanded"><a name="L463"></a><tt class="py-lineno">463</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L464"></a><tt class="py-lineno">464</tt>  <tt class="py-line"><tt class="py-docstring">        Evaluates one decision rule in this controller</tt> </tt>
<a name="L465"></a><tt class="py-lineno">465</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L466"></a><tt class="py-lineno">466</tt>  <tt class="py-line"><tt class="py-docstring">        Takes a rule from the controller and evaluates it given the values of</tt> </tt>
<a name="L467"></a><tt class="py-lineno">467</tt>  <tt class="py-line"><tt class="py-docstring">        the input variables. The format of the rule is as given, and the</tt> </tt>
<a name="L468"></a><tt class="py-lineno">468</tt>  <tt class="py-line"><tt class="py-docstring">        response to the rule is calculated by::</tt> </tt>
<a name="L469"></a><tt class="py-lineno">469</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L470"></a><tt class="py-lineno">470</tt>  <tt class="py-line"><tt class="py-docstring">            y = a0 + a1*x1 + a2*x2 + ... + an*xn</tt> </tt>
<a name="L471"></a><tt class="py-lineno">471</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L472"></a><tt class="py-lineno">472</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L473"></a><tt class="py-lineno">473</tt>  <tt class="py-line"><tt class="py-docstring">          r</tt> </tt>
<a name="L474"></a><tt class="py-lineno">474</tt>  <tt class="py-line"><tt class="py-docstring">            The rule in the standard format, or an integer number. If ``r`` is</tt> </tt>
<a name="L475"></a><tt class="py-lineno">475</tt>  <tt class="py-line"><tt class="py-docstring">            an integer, then the ``r`` th rule in the knowledge base will be</tt> </tt>
<a name="L476"></a><tt class="py-lineno">476</tt>  <tt class="py-line"><tt class="py-docstring">            evaluated.</tt> </tt>
<a name="L477"></a><tt class="py-lineno">477</tt>  <tt class="py-line"><tt class="py-docstring">          xs</tt> </tt>
<a name="L478"></a><tt class="py-lineno">478</tt>  <tt class="py-line"><tt class="py-docstring">            A tuple, a list or an array containing the values of the input</tt> </tt>
<a name="L479"></a><tt class="py-lineno">479</tt>  <tt class="py-line"><tt class="py-docstring">            variables. The dimension must be coherent with the given rule.</tt> </tt>
<a name="L480"></a><tt class="py-lineno">480</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L481"></a><tt class="py-lineno">481</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L482"></a><tt class="py-lineno">482</tt>  <tt class="py-line"><tt class="py-docstring">          This method evaluates each membership function in the rule for each</tt> </tt>
<a name="L483"></a><tt class="py-lineno">483</tt>  <tt class="py-line"><tt class="py-docstring">          given value, and ``and`` 's the results to obtain the condition. If</tt> </tt>
<a name="L484"></a><tt class="py-lineno">484</tt>  <tt class="py-line"><tt class="py-docstring">          the condition is zero, a tuple ``(0.0, 0.0) is returned. Otherwise,</tt> </tt>
<a name="L485"></a><tt class="py-lineno">485</tt>  <tt class="py-line"><tt class="py-docstring">          the result as given above is calculate, and a tuple containing</tt> </tt>
<a name="L486"></a><tt class="py-lineno">486</tt>  <tt class="py-line"><tt class="py-docstring">          ``(condition, result)`` (the membership value associated to the</tt> </tt>
<a name="L487"></a><tt class="py-lineno">487</tt>  <tt class="py-line"><tt class="py-docstring">          condition and the result of the calculation) is returned.</tt> </tt>
<a name="L488"></a><tt class="py-lineno">488</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L489"></a><tt class="py-lineno">489</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">type</tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">)</tt> <tt class="py-keyword">is</tt> <tt class="py-name">types</tt><tt class="py-op">.</tt><tt class="py-name">IntType</tt><tt class="py-op">:</tt> </tt>
<a name="L490"></a><tt class="py-lineno">490</tt>  <tt class="py-line">            <tt class="py-name">r</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__rules</tt><tt class="py-op">[</tt><tt class="py-name">r</tt><tt class="py-op">]</tt> </tt>
<a name="L491"></a><tt class="py-lineno">491</tt>  <tt class="py-line">        <tt class="py-name">mx</tt><tt class="py-op">,</tt> <tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt class="py-name">r</tt> </tt>
<a name="L492"></a><tt class="py-lineno">492</tt>  <tt class="py-line">        <tt class="py-comment"># Finds the membership value for each xn</tt> </tt>
<a name="L493"></a><tt class="py-lineno">493</tt>  <tt class="py-line">        <tt class="py-name">cl</tt> <tt class="py-op">=</tt> <tt class="py-op">[</tt> <tt class="py-name">m</tt><tt class="py-op">(</tt><tt id="link-37" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-37', 'x', 'link-23');">x</a></tt><tt class="py-op">)</tt> <tt class="py-keyword">for</tt> <tt class="py-name">m</tt><tt class="py-op">,</tt> <tt id="link-38" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-38', 'x', 'link-23');">x</a></tt> <tt class="py-keyword">in</tt> <tt class="py-name">zip</tt><tt class="py-op">(</tt><tt class="py-name">mx</tt><tt class="py-op">,</tt> <tt class="py-name">xs</tt><tt class="py-op">)</tt> <tt class="py-keyword">if</tt> <tt class="py-name">m</tt> <tt class="py-keyword">is</tt> <tt class="py-keyword">not</tt> <tt class="py-name">None</tt> <tt class="py-op">]</tt> </tt>
<a name="L494"></a><tt class="py-lineno">494</tt>  <tt class="py-line">        <tt class="py-comment"># Apply ``and`` operation</tt> </tt>
<a name="L495"></a><tt class="py-lineno">495</tt>  <tt class="py-line">        <tt class="py-name">mr</tt> <tt class="py-op">=</tt> <tt class="py-name">reduce</tt><tt class="py-op">(</tt><tt class="py-keyword">lambda</tt> <tt class="py-name">x0</tt><tt class="py-op">,</tt> <tt class="py-name">x1</tt><tt class="py-op">:</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__AND__</tt><tt class="py-op">(</tt><tt class="py-name">x0</tt><tt class="py-op">,</tt> <tt class="py-name">x1</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">cl</tt><tt class="py-op">)</tt> </tt>
<a name="L496"></a><tt class="py-lineno">496</tt>  <tt class="py-line">        <tt class="py-comment"># Implication, returns 0.0 if mr == 0</tt> </tt>
<a name="L497"></a><tt class="py-lineno">497</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">mr</tt> <tt class="py-op">&gt;</tt> <tt class="py-number">0.0</tt><tt class="py-op">:</tt> </tt>
<a name="L498"></a><tt class="py-lineno">498</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-op">(</tt><tt class="py-name">mr</tt><tt class="py-op">,</tt> <tt class="py-name">dot</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">,</tt> <tt class="py-name">xs</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L499"></a><tt class="py-lineno">499</tt>  <tt class="py-line">        <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L500"></a><tt class="py-lineno">500</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-op">(</tt><tt class="py-number">0.0</tt><tt class="py-op">,</tt> <tt class="py-number">0.0</tt><tt class="py-op">)</tt> </tt>
</div><a name="L501"></a><tt class="py-lineno">501</tt>  <tt class="py-line"> </tt>
<a name="L502"></a><tt class="py-lineno">502</tt>  <tt class="py-line"> </tt>
<a name="Parametric.__call__"></a><div id="Parametric.__call__-def"><a name="L503"></a><tt class="py-lineno">503</tt> <a class="py-toggle" href="#" id="Parametric.__call__-toggle" onclick="return toggle('Parametric.__call__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.control.Parametric-class.html#__call__">__call__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-op">*</tt><tt class="py-param">xs</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Parametric.__call__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Parametric.__call__-expanded"><a name="L504"></a><tt class="py-lineno">504</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L505"></a><tt class="py-lineno">505</tt>  <tt class="py-line"><tt class="py-docstring">        Apply the controller to the set of input variables</tt> </tt>
<a name="L506"></a><tt class="py-lineno">506</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L507"></a><tt class="py-lineno">507</tt>  <tt class="py-line"><tt class="py-docstring">        Given the values of the input variables, evaluates every decision rule,</tt> </tt>
<a name="L508"></a><tt class="py-lineno">508</tt>  <tt class="py-line"><tt class="py-docstring">        and calculates the weighted average of the results. Returns the response</tt> </tt>
<a name="L509"></a><tt class="py-lineno">509</tt>  <tt class="py-line"><tt class="py-docstring">        of the controller.</tt> </tt>
<a name="L510"></a><tt class="py-lineno">510</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L511"></a><tt class="py-lineno">511</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L512"></a><tt class="py-lineno">512</tt>  <tt class="py-line"><tt class="py-docstring">          xs</tt> </tt>
<a name="L513"></a><tt class="py-lineno">513</tt>  <tt class="py-line"><tt class="py-docstring">            A tuple, a list or an array with the values of the input variables.</tt> </tt>
<a name="L514"></a><tt class="py-lineno">514</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L515"></a><tt class="py-lineno">515</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L516"></a><tt class="py-lineno">516</tt>  <tt class="py-line"><tt class="py-docstring">          The response of the controller.</tt> </tt>
<a name="L517"></a><tt class="py-lineno">517</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L518"></a><tt class="py-lineno">518</tt>  <tt class="py-line">        <tt class="py-name">ys</tt> <tt class="py-op">=</tt> <tt class="py-name">array</tt><tt class="py-op">(</tt><tt class="py-op">[</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-39" class="py-name"><a title="peach.fuzzy.control.Controller.eval
peach.fuzzy.control.Parametric.eval" class="py-name" href="#" onclick="return doclink('link-39', 'eval', 'link-27');">eval</a></tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">,</tt> <tt class="py-name">xs</tt><tt class="py-op">)</tt> <tt class="py-keyword">for</tt> <tt class="py-name">r</tt> <tt class="py-keyword">in</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__rules</tt> <tt class="py-op">]</tt><tt class="py-op">)</tt> </tt>
<a name="L519"></a><tt class="py-lineno">519</tt>  <tt class="py-line">        <tt class="py-name">m</tt> <tt class="py-op">=</tt> <tt class="py-name">ys</tt><tt class="py-op">[</tt><tt class="py-op">:</tt><tt class="py-op">,</tt> <tt class="py-number">0</tt><tt class="py-op">]</tt> </tt>
<a name="L520"></a><tt class="py-lineno">520</tt>  <tt class="py-line">        <tt id="link-40" class="py-name"><a title="peach.fuzzy.control.Controller.y
peach.nn.base.Layer.y
peach.nn.nnet.FeedForward.y
peach.nn.nnet.SOM.y
peach.nn.rbfn.RBFN.y" class="py-name" href="#" onclick="return doclink('link-40', 'y', 'link-15');">y</a></tt> <tt class="py-op">=</tt> <tt class="py-name">ys</tt><tt class="py-op">[</tt><tt class="py-op">:</tt><tt class="py-op">,</tt> <tt class="py-number">1</tt><tt class="py-op">]</tt> </tt>
<a name="L521"></a><tt class="py-lineno">521</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">sum</tt><tt class="py-op">(</tt><tt class="py-name">m</tt><tt class="py-op">*</tt><tt id="link-41" class="py-name"><a title="peach.fuzzy.control.Controller.y
peach.nn.base.Layer.y
peach.nn.nnet.FeedForward.y
peach.nn.nnet.SOM.y
peach.nn.rbfn.RBFN.y" class="py-name" href="#" onclick="return doclink('link-41', 'y', 'link-15');">y</a></tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-name">sum</tt><tt class="py-op">(</tt><tt class="py-name">m</tt><tt class="py-op">)</tt> </tt>
</div></div><a name="L522"></a><tt class="py-lineno">522</tt>  <tt class="py-line"> </tt>
<a name="L523"></a><tt class="py-lineno">523</tt>  <tt class="py-line"> </tt>
<a name="Sugeno"></a><div id="Sugeno-def"><a name="L524"></a><tt class="py-lineno">524</tt> <a class="py-toggle" href="#" id="Sugeno-toggle" onclick="return toggle('Sugeno');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.fuzzy.control.Sugeno-class.html">Sugeno</a><tt class="py-op">(</tt><tt class="py-base-class">Parametric</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Sugeno-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="Sugeno-expanded"><a name="L525"></a><tt class="py-lineno">525</tt>  <tt class="py-line">    <tt class="py-docstring">'''``Sugeno`` is an alias to ``Parametric``'''</tt> </tt>
<a name="L526"></a><tt class="py-lineno">526</tt>  <tt class="py-line">    <tt class="py-keyword">pass</tt> </tt>
</div><a name="L527"></a><tt class="py-lineno">527</tt>  <tt class="py-line"> </tt>
<a name="L528"></a><tt class="py-lineno">528</tt>  <tt class="py-line"> </tt>
<a name="L529"></a><tt class="py-lineno">529</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="L530"></a><tt class="py-lineno">530</tt>  <tt class="py-line"><tt class="py-comment"># Test</tt> </tt>
<a name="L531"></a><tt class="py-lineno">531</tt>  <tt class="py-line"><tt class="py-keyword">if</tt> <tt class="py-name">__name__</tt> <tt class="py-op">==</tt> <tt class="py-string">"__main__"</tt><tt class="py-op">:</tt> </tt>
<a name="L532"></a><tt class="py-lineno">532</tt>  <tt class="py-line">    <tt class="py-keyword">pass</tt> </tt>
<a name="L533"></a><tt class="py-lineno">533</tt>  <tt class="py-line"> </tt><script type="text/javascript">
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